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# Class 8 RD Sharma Solutions – Chapter 3 Squares and Square Roots – Exercise 3.7 | Set 2

• Last Updated : 06 Apr, 2021

### Question 11) 9998.0001

Solution:

Hence, the square root of 9998.0001 is 99.99.

### Question 12) 0.00038809

Solution:

Hence, the square root of 84.8241 is 9.21.

### Question 13) What is that fraction which when multiplied by itself gives 227.798629?

Solution:

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.

### Question 14) The area of square playground is 256.6404 square meters. Find the length of one side of the playground.

Solution:

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 meters.

### Question 15) What is the fraction which when multiplied by itself gives 0.00053361?

Solution:

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.

### Question 16) Simplify:

Solution:

1) First, finding the square roots of 5.29 and 59.29

On putting the values on their respective positions, we have (7.7 – 2.3) / (7.7 + 2.3) = 5.4/10 = 0.54.

2) First, finding the square roots of 0.2304 and 0.1764

On putting the values on their respective positions, we have (0.44 + 0.42) / (0.44 – 0.42) = 0.9/0.06 = 15.

### Question 17) Evaluate âˆš50625 and hence find the value of âˆš506.25 + âˆš5.0625

Solution:

Next, we calculate âˆš506.25 and âˆš5.0625

âˆš506.25 = (âˆš50625)/(âˆš100) = 225/10 = 22.5

âˆš5.0625 = (âˆš50625)(âˆš10000) = 225/100 = 2.25

âˆš506.25 + âˆš5.0625 = 22.5 + 2.25 = 24.75.

### Question 18) Find the value of âˆš103.0225 and hence find the value of:

1) âˆš10302.25          2) âˆš1.030225

Solution:

First, finding the square root of 103.0225

Hence, the square root of 103.0225 is 10.15

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

1) âˆš10302.25 = (âˆš103.0225)Ã—(âˆš100) = 10.15Ã—10 = 101.5

2) âˆš1.030225 = (âˆš103.0225)/(âˆš100) = 10.15/10 = 1.015

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