Exercise 3.7 - Squares And Square Roots RD Sharma Solutions | Mathematics (Maths) Class 8 PDF Download

Q.1. Find the square root in decimal form:

84.8241

Ans: 

Hence, the square root of 84.8241 is 9.21.

Q.2. Find the square root in decimal form:

0.7225

Ans: 

Hence, the square root of 0.7225 is 0.85.

Q.3. Find the square root in decimal form:

0.813604

Ans: 

Hence, the square root of 0.813604 is 0.902.

Q.4. Find the square root in decimal form:

0.00002025

Ans: 

Hence, the square root of 0.00002025 is 0.0045.

Q.5. Find the square root in decimal form:

150.0625

Ans: 

Hence, the square root of 150.0625 is 12.25.

Q.6. Find the square root in decimal form:

225.6004

Ans: 

Hence, the square root of 225.6004 is 15.02

Q.7. Find the square root in decimal form:

3600.720036

Ans: 

Hence, the square root of 3600.720036 is 60.006.

Q.8. Find the square root in decimal form:

236.144689

Ans:

Hence, the square root of 236.144689 is 15.367.

Q.9. Find the square root in decimal form:

0.00059049

Ans:

Hence, the square root of 0.00059049 is 0.0243.

Q.10. Find the square root in decimal form:

176.252176

Ans:

Hence, the square root of 176.252176 is 13.276.

Q.11. Find the square root in decimal form:

9998.0001

Ans:

Hence, the square root of 9998.0001 is 99.99.

Q.12. Find the square root in decimal form:

0.00038809

Ans: 

Hence, the square root of 0.00038809 is 0.0197.

Q.13. What is that fraction which when multiplied by itself gives 227.798649?

Ans: We have to find the square root of the given number.

Hence, the fraction, which when multiplied by itself, gives 227.798649 is 15.093.

Q.14. The area of a square playground is 256.6404 square metres. Find the length of one side of the playground.

Ans: The length of one side of the playground is the square root of its area.

So, the length of one side of the playground is 16.02 metres.

Q.15. What is the fraction which when multiplied by itself gives 0.00053361?

Ans: We have to find the square root of the given number.

Hence, the fraction, which when multiplied by itself, gives 0.00053361 is 0.0231.

Q.16. Simplify:

(i)

(ii)

Ans: 

(i) We have:

(ii) We have:

=

=

=0.48

=

=

=0.42

Q.17. Evaluate √50625 and hence find the value of √506.25 + √5.0625.

Ans: We have

Next, we will calculate√506.25 and √5.0625

= 22.5 + 2.25 

= 24.75

Q.18. Find the value of √103.0225 and hence find the value of

(i) √10302.25

(ii) √1.030225

Ans: The value of 103.0225 is:

Hence, the square root of 103.0225 is 10.15.

Now, we can solve the following questions as shown below:

(i) √10302.25 = √103.0225×100 = √103.0225√ × √100=10.15 × 10 = 101.5

(ii)====1.015