Square Root Of 169 By Repeated Subtraction

We will subtract the consecutive odd numbers from the number for which we are finding the square root till we reach 0.

Square root of 169 by repeated subtraction.

Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. Find the square root of 6 2 5 using repeated subtraction. 17 17 0. Step vii 133 13 120.

Step v 153 9 144. Step ii 168 3 165. 65 9 56 56 11 45. 81 1 80.

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. We can use the subtraction method prime factorisation method approximation method and long division method to find the square root of a given number. Let us take an example to learn this method. Step viii 120 15 105.

80 3 77. 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. Step i 169 1 168. Square root of 169 by method of subtraction.

Let us find the square root of 81 by repeated subtraction method. Step iii 165 5 160. Square root by repeated subtraction. First check whether the given number is a perfect square number or not.

8 3 5 step 3. Square root of 100. 0 is obtained at the 10th step. Step ix 105 17 88.

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. 77 5 72. We will use this fact to find the square root of a number by repeated subtraction.

32 15 17. We know that the sum of the first n odd natural numbers is n 2. Square root of 81 by repeated subtraction. Step iv 160 7 153.

45 13 32. This is a very simple 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. 9 1 8 step 2.

Step vi 144 11 133. Repeated subtraction method. Let us consider another example to find the square root of 81 by repeated subtraction. Step x 88 19 69.