Square root of 100.
Find the square root of 121 by repeated subtraction method.
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.
Let us study how to find the square root of 121 by repeated subtraction method.
16 1 15 step 2.
Say you are required to find the square root of 121 that is 121.
We will use this fact to find the square root of a number by repeated subtraction.
Therefore 4 is the square root of 16.
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.
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.
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.
15 3 12 step 3.
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Find square root of 16 by repeated subtraction method.
The number of steps to reach zero is the square root.
Let us take an example to learn this method.
12 5 7 step 4.
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.
Every natural number squared can be written as the sum of consecutive odd natural numbers starting from zero.
