# Finding Square Root Through Repeated Subtraction:

Every square number can be expressed as a sum of successive odd natural numbers starting from 1.

We can find square root by repeating subtraction.

We can get the square root of n natural number by

Step 1: Subtracted successive odd numbers starting from 1.

Step 2: Stop when you obtained 0.

Consider sqrt144.

Then,

144 - 1 = 143
143 - 3 = 140
140 - 5 = 135
135 - 7 = 128
128 - 9 = 119
119 - 11 = 108
118 - 13 = 95
95 - 15 = 80
80 - 17 = 63
63 - 19 = 44
44 - 21 = 23
23 - 23 = 0.

If you would like to contribute notes or other learning material, please submit them using the button below.

### Shaalaa.com

To Calculate Square Root by Repeated Subtraction of Odd Numbers [00:06:31]
S
0%