Square Root Of 289 By Repeated Subtraction Method

Square root by repeated subtraction.

Square root of 289 by repeated subtraction method.

45 13 32. The count of odd numbers used in this process will give the square root of the number n. 17 17 0. Sum of the first n odd natural numbers is equal to n 2.

80 3 77. Find the square root of 169 by repeated subtraction method 2 see answers arshbbcommander arshbbcommander 169 1 168 168 3 165 165 5 160 160 7 153 153 9 144 144 11 133 133 13 120 120 15 105 105 17 88 88 19 69 69 21 48 48 23 25 25 25 0 since it is compeletly subtracted at 13th time. View answer for each of the following find the least number that must be added so that the resulting number is a perfect square. 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.

Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed. 77 5 72. Square root of 100. There are several methods for the same.

In this article we will learn how to find the square root of a number through repeated subtraction. Let us find the square root of 81 by repeated subtraction method. Square root of 81 by repeated subtraction. 8 3 5 step 3.

Square root of 169 is 13. 72 7 65. 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. 9 1 8 step 2.

We know that the sum of the first n odd natural numbers is n 2. 65 9 56 56 11 45. 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. 81 1 80.

Let us consider another example to find the square root of 81 by repeated subtraction. 32 15 17. Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. Therefore 3 is the square root of 9 or we can also write it as.