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

RD Sharma Solutions for Class 8 Mathematics

Created by: Abhishek Kapoor

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Answer 1: (i) We know:

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

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

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

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

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

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) Class 8 Notes | EduRev  2×3×3=18 

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

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

(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) Class 8 Notes | EduRev We know:  

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

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

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

(iv) We know: 

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

(v) We know: 

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

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) Class 8 Notes | EduRev

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

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

(vi) We know: 

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

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) Class 8 Notes | EduRev

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

(vii) We know: 

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

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) Class 8 Notes | EduRev

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

(viii) We know: 

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

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) Class 8 Notes | EduRev

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

(ix) We know: 

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

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) Class 8 Notes | EduRev

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

(x) We know: 

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

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) Class 8 Notes | EduRev

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

(xi) We know: 

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

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) Class 8 Notes | EduRev

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

(xii) We know: 

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

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) Class 8 Notes | EduRev

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

(xiii) We know: 

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

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) Class 8 Notes | EduRev

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

(xiv) We know: 

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

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) Class 8 Notes | EduRev

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

(xv) We know: 

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

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) Class 8 Notes | EduRev 7×7=49 

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

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

Question 2: Find the value of:

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

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

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

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

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


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

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

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

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

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

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


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

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

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

= 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) Class 8 Notes | EduRev80244729 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) Class 8 Notes | EduRev

We have

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

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) Class 8 Notes | EduRev

We know that:

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

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

Question 4:  The area of a square field is RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Class 8 Notes | EduRev 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) Class 8 Notes | EduRev.
We have:
RD Sharma Solutions for Class 8 Math Chapter 3 - Squares and Square Roots (Part-5) Class 8 Notes | EduRev
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) Class 8 Notes | EduRev

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

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

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) Class 8 Notes | EduRev

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

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