Square root of 100.
Find the square root of 121 by repeated subtraction method.
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Let us study how to find the square root of 121 by repeated subtraction method.
7 7 0 as you can see that given number 16 was repeatedly subtracted by successive odd numbers starting from 1 and we get zero in forth step.
To find the square root of sqrt 121 by repeated subtraction we will subtract successive odd numbers starting from 1 from 121.
Let us take an example to learn this method.
Square root of 121 by repeated subtraction.
Say you are required to find the square root of 121 that is 121.
16 1 15 step 2.
15 3 12 step 3.
Example 1 find the square root of 144 by the subtraction method.
We will use this fact to find the square root of a number by repeated subtraction.
12 5 7 step 4.
Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.
The number of steps to reach zero is the square root.
So for finding square root we start subtraction from 1 and continue until it reaches zero.
Therefore 4 is the square root of 16.
Every natural number squared can be written as the sum of consecutive odd natural numbers starting from zero.
The number of steps obtained to get the result 0 is the square root of the given number.