Find The Square Root Of 121 By Repeated Subtraction

Every natural number squared can be written as the sum of consecutive odd natural numbers starting from zero.

Find the square root of 121 by repeated subtraction. Find square root of 16 by repeated subtraction method. 15 3 12 step 3. We will use this fact to find the square root of a number by repeated subtraction. Let us take an example to learn this method.

Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. 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. 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.

The number of steps to reach zero is the square root. We can use the subtraction method prime factorisation method approximation method and long division method to find the square root of a given number. 16 1 15 step 2. How to find square root of a number by repeated subtraction method.

Therefore 4 is the square root of 16. Repeated subtraction method. So for finding square root we start subtraction from 1 and continue until it reaches zero. To find the square root of sqrt 121 by repeated subtraction we will subtract successive odd numbers starting from 1 from 121.

Square root of 100. 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. This is a very simple method.

We will subtract the consecutive odd numbers from the number for which we are finding the square root till we reach 0. Thanks for watching my videos.