RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Class 8: RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The document RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
All you need of Class 8 at this link: Class 8

Question 1: Find the square root of:

(i) 441/961
(ii) 324/841
(iii) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(iv) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(v) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(vi) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(vii) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

(viii) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(ix) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(x) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xi) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xii) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xiii) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xiv) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xv) RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Answer 1: (i) We know:

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 =3×7=21 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 =31 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 
=
21/31
(ii)We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

Now, let us compute the square roots of the numerator and the denominator separately.

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  2×3×3=18 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(iii) By looking at the book's answer key, the fraction should be RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 We know:  

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

(iv) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(v) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 =2×7=14 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(vi) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, let us compute the square roots of the numerator and the denominator separately.
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(vii) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, let us compute the square roots of the numerator and the denominator separately.
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(viii) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(ix) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(x) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xi) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xii) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xiii) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xiv) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(xv) We know: 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now let us compute the square roots of the numerator and the denominator separately. 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 7×7=49 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 3×5=15 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Question 2: Find the value of:

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Answer 2: (i) We have:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(ii) Computing the square roots:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8


RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(iii) We have:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8      (by dividing both numbers by 3)
Computing the square roots of the numerator and the denominator:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

∴∴ RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(iv) We have:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

=RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8                                                       


RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(v) We have:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8                          

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8                        

= 30 

Question 3: The area of a square field is RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 880244729 square metres. Find the length of each side of the field.

Answer 3: The length of one side is the square root of the area of the field. Hence, we need to calculate the value of RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

We have

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, to calculate the square root of the numerator and the denominator:

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

We know that:

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Therefore, length of one side of the field RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Question 4:  The area of a square field is RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 Calculate the length of the side of the square.

Answer 4: The length of one side is equal to the square root of the area of the field. Hence, we just need to calculate the value of RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8.
We have:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8
Now, calculating the square root of the numerator and the denominator:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Therefore, the length of the side of the square =  RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Question 5: Find the length of a side of a square playground whose area is equal to the area of a rectangular field of diamensions 72 m and 338 m.

Answer 5: The area of the playground = 72 ×× 338 = 24336 m2
The length of one side of a square is equal to the square root of its area. Hence, we just need to find the square root of 24336.
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Hence, the length of one side of the playground is 156 metres. 

The document RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
All you need of Class 8 at this link: Class 8

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