So for finding square root we start subtraction from 1 and continue until it reaches zero.
Find the square root of 121 by repeated subtraction method.
Find square root of 16 by repeated subtraction method.
Every natural number squared can be written as the sum of consecutive odd natural numbers starting from zero.
16 1 15 step 2.
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Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.
The number of steps obtained to get the result 0 is the square root of the given number.
The number of steps to reach zero is the square root.
15 3 12 step 3.
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100 1 99 99 3 96 96 5 91 91 7 84 84 9 75 75 11 64 64 13 51 51 15 36 36 17 19 19 19 0 to find the square root we subtract successive odd numbers from the number till we obtain 0.
Let us take an example to learn this method.
Therefore 4 is the square root of 16.
To find the square root of sqrt 121 by repeated subtraction we will subtract successive odd numbers starting from 1 from 121.
Let us study how to find the square root of 121 by repeated subtraction method.
12 5 7 step 4.
Square root of 100.
We will use this fact to find the square root of a number by repeated subtraction.
Example 1 find the square root of 144 by the 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.