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