Square Root Of 169 By Repeated Subtraction

Step vi 144 11 133.

Square root of 169 by repeated subtraction.

Let us consider another example to find the square root of 81 by repeated subtraction. Step ii 168 3 165. View answer for each of the following find the least number that must be added so that the resulting number is a perfect square. 65 9 56 56 11 45.

0 is obtained at the 10th step. 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. 80 3 77. 9 1 8 step 2.

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. 17 17 0. 8 3 5 step 3. Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.

72 7 65. Step viii 120 15 105. Step ix 105 17 88. Repeated subtraction method.

Step x 88 19 69. We can use the subtraction method prime factorisation method approximation method and long division method to find the square root of a given number. Square root by repeated subtraction. Step i 169 1 168.

77 5 72. Hence 10 is the square root of 100. Step vii 133 13 120. Square root of 100.

Step iv 160 7 153. We know that the sum of the first n odd natural numbers is n 2. 32 15 17. Step v 153 9 144.

Square root of 81 by repeated subtraction. 45 13 32. We will use this fact to find the square root of a number by repeated subtraction. Step iii 165 5 160.

Square root of 169 by method of subtraction. We will subtract the consecutive odd numbers from the number for which we are finding the square root till we reach 0. Say you are required to find the square root of 121 that is 121. This is a very simple method.

First check whether the given number is a perfect square number or not. Find square root of 9 by repeated subtraction method. Let us find the square root of 81 by repeated subtraction method. Let us take an example to learn this method.