Square Root Of 289 By Repeated Subtraction Method

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 289 by repeated subtraction method.

32 15 17. The count of odd numbers used in this process will give the square root of the number n. Square root of 81 by repeated subtraction. Square root of 100.

65 9 56 56 11 45. 8 3 5 step 3. View answer for each of the following find the least number that must be added so that the resulting number is a perfect square. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed.

Let us find the square root of 81 by repeated subtraction method. We will use this fact to find the square root of a number by repeated subtraction. There are several methods for the same. 77 5 72.

72 7 65. 80 3 77. 17 17 0. Therefore 3 is the square root of 9 or we can also write it as.

Find the square root of the number 144 using repeated subtraction method. 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. Let us consider another example to find the square root of 81 by repeated subtraction. We know that the sum of the first n odd natural numbers is n 2.

Sum of the first n odd natural numbers is equal to n 2. Square root of 169 is 13. As explained in property 4 of square numbers and the square number is the sum of successive odd numbers starting from 1 and you can find square root of a number by repeatedly subtracting successive odd numbers which is also starting from 1 from the given square number till you get zero. Find square root of 9 by repeated subtraction method.

Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. Square root by repeated subtraction. In this article we will learn how to find the square root of a number through repeated subtraction. 45 13 32.