Find square root of 16 by repeated subtraction method.
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.
To find the square root of sqrt 121 by repeated subtraction we will subtract successive odd numbers starting from 1 from 121.
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.
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So for finding square root we start subtraction from 1 and continue until it reaches zero.
How to find square root of a number by repeated subtraction 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.
Square root of 100.
Repeated subtraction method.
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16 1 15 step 2.
Say you are required to find the square root of 121 that is 121.
The number of steps obtained to get the result 0 is the square root of the given number.
Example 1 find the square root of 144 by the subtraction method.
This is a very simple method.
Therefore 4 is the square root of 16.
15 3 12 step 3.
Let us take an example to learn this method.
We will subtract the consecutive odd numbers from the number for which we are finding the square root till we reach 0.
12 5 7 step 4.
To find square root we subtract consecutive odd numbers from number till we obtain 0 square root total numbers subtracted let s take an examplesuppose we need to find 81square root of 8181 1 8080 3 7777 5 7272 7 6565 9 5656 11 4545 13 3232 15 1717 17 0since aft.
We can use the subtraction method prime factorisation method approximation method and long division method to find the square root of a given number.