15 3 12 step 3.
Find the square root of 121 by repeated subtraction method.
Let us study how to find the square root of 121 by repeated subtraction method.
16 1 15 step 2.
Find square root of 16 by repeated subtraction method.
Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.
So for finding square root we start subtraction from 1 and continue until it reaches zero.
The number of steps obtained to get the result 0 is the square root of the given number.
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12 5 7 step 4.
Square root of 121 by repeated subtraction.
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.
Say you are required to find the square root of 121 that is 121.
Example 1 find the square root of 144 by the subtraction method.
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.
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 to reach zero is the square root.
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.