Square Root Of 256 By Repeated Subtraction Method

In this article we will learn how to find the square root of a number through repeated subtraction.

Square root of 256 by repeated subtraction method.

Finding the square root of a number by repeatedly subtracting successive odd numbers from the given square number till you get zero is known as repeated subtraction method. Square root 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. 17 17 0.

80 3 77. 32 15 17. 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. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed.

Find square root of 9 by repeated subtraction method. There are several methods for the same. We will use this fact to find the square root of a number by repeated subtraction. Let us find the square root of 81 by repeated subtraction method.

9 1 8 step 2. Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. We know that the sum of the first n odd natural numbers is n 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.

Let us consider another example to find the square root of 81 by repeated subtraction. 77 5 72. First check whether the given number is a perfect square number or not. The count of odd numbers used in this process will give the square root of the number n.

65 9 56 56 11 45. Square root of 100. Therefore 3 is the square root of 9 or we can also write it as. 81 1 80.

So square root of 256 256 1 255 255 3 252. Find the square root of the number 144 using repeated subtraction method. 72 7 65. Sum of the first n odd natural numbers is equal to n 2.

Square root of 81 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.