Square Root Of 256 By Repeated Subtraction

View answer for each of the following find the least number that must be added so that the resulting number is a perfect square.

Square root of 256 by 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. Find square root of 9 by repeated subtraction method. We know that the sum of the first n odd natural numbers is n 2. Find the square root of the number 144 using repeated subtraction method.

Square root of 100. 5 5 0 as you can see that given number 9 was repeatedly subtracted by successive odd numbers starting from 1 and we get zero in third step. Math army 2 687 views. Every square number can be expressed as a sum of successive odd natural numbers starting from 1.

So square root of 256 256 1 255 255 3 252 252 5 247 247 7 240. Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. Finding square root using repeated subtraction method duration. 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. Sum of the first n odd natural numbers is equal to n 2. The count of odd numbers used in this process will give the square root of the number n. 9 1 8 step 2.

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. Finding square and square roots using vedic maths duration. Find the square root of 256 by repeated subtraction method. First check whether the given number is a perfect square number or not.

Share with your friends. 8 3 5 step 3. Say you are required to find the square root of 121 that is 121.