Question

Find the square root of 100 by the method of repeated subtraction.

Answer 1

Square root by repeated subtraction:

This is the simplest method of finding the square
root of a perfect square. It works very well for small numbers.

Take the number n whose square root is required .
Subtract from and the odd numbers 1, 3, 5 7, 9….. successively . If n is a
perfect square we will get zero at some stage . We stop at this point and
declared the number of times we have perform subtraction as the square root of
n.

=========================================================

Solution:

√100 by Repeated subtraction:



1. 100 - 1 = 99

2. 99 - 3 = 96

3. 96 - 5 = 91

4. 91 -7 = 84

5. 84 - 9 = 75

6. 75 - 11 = 64

7. 64 - 13 = 51

8. 51 - 15 = 36

9. 36-17=19

10. 19 - 19 = 0



We get 0 at 10th step. Hence,10 is the square root of 100.

√100 = 10