Square Root Of 169 By Repeated Subtraction

Step iv 160 7 153.

Square root of 169 by repeated subtraction.

Let us find the square root of 81 by repeated subtraction method. Find square root of 9 by repeated subtraction method. Square root of 169 by method of subtraction. 17 17 0.

Step x 88 19 69. 0 is obtained at the 10th step. 45 13 32. 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.

Hence 10 is the square root of 100. Let us consider another example to find the square root of 81 by repeated subtraction. We can use the subtraction method prime factorisation method approximation method and long division method to find the square root of a given number. Step vii 133 13 120.

8 3 5 step 3. Square root by repeated subtraction. 72 7 65. 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. We will subtract the consecutive odd numbers from the number for which we are finding the square root till we reach 0. This is a very simple method. Square root of 100.

Step iii 165 5 160. Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. Step v 153 9 144. We know that the sum of the first n odd natural numbers is n 2.

Say you are required to find the square root of 121 that is 121. 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. Step i 169 1 168. 65 9 56 56 11 45.

80 3 77. Step ix 105 17 88. First check whether the given number is a perfect square number or not. Square root of 81 by repeated subtraction.

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. Let us take an example to learn this method. Find the square root of 6 2 5 using repeated subtraction. 9 1 8 step 2.

77 5 72. Repeated subtraction method. Step viii 120 15 105. 81 1 80.