Square Root Of 256 By Repeated Subtraction Method

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 method.

Square root of 100. 81 1 80. We will use this fact to find the square root of a number by repeated subtraction. 17 17 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. Find square root of 9 by repeated subtraction method. Every square number can be expressed as a sum of successive odd natural numbers starting from 1. 65 9 56 56 11 45.

80 3 77. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed. Sum of the first n odd natural numbers is equal to n 2. 9 1 8 step 2.

Find the square root of the number 144 using repeated subtraction method. There are several methods for the same. We know that the sum of the first n odd natural numbers is n 2. In this article we will learn how to find the square root of a number through repeated subtraction.

72 7 65. So square root of 256 256 1 255 255 3 252. Therefore 3 is the square root of 9 or we can also write it as. 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.

Square root of 81 by repeated subtraction. Let us find the square root of 81 by repeated subtraction method. Let us consider another example to find the square root of 81 by repeated subtraction. 8 3 5 step 3.

77 5 72. 45 13 32. The count of odd numbers used in this process will give the square root of the number n. 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.

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