32 15 17.
Square root of 169 by repeated subtraction.
77 5 72.
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.
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 i 169 1 168.
Square root by repeated subtraction.
Square root of 169 by method of subtraction.
Step ix 105 17 88.
Find the square root of 6 2 5 using repeated subtraction.
45 13 32.
0 is obtained at the 10th step.
Hence 10 is the square root of 100.
8 3 5 step 3.
Step ii 168 3 165.
Step vi 144 11 133.
Square root of 81 by repeated subtraction.
First check whether the given number is a perfect square number or not.
This is a very simple method.
We know that the sum of the first n odd natural numbers is n 2.
Step v 153 9 144.
Let us consider another example to find the square root of 81 by repeated subtraction.
65 9 56 56 11 45.
Say you are required to find the square root of 121 that is 121.
Step vii 133 13 120.
Square root of 100.
Step iv 160 7 153.
Step viii 120 15 105.
Find square root of 9 by repeated subtraction method.
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.
81 1 80.
Step iii 165 5 160.
Let us find the square root of 81 by repeated subtraction method.
We will subtract the consecutive odd numbers from the number for which we are finding the square root till we reach 0.
View answer for each of the following find the least number that must be added so that the resulting number is a perfect square.
72 7 65.
We will use this fact to find the square root of a number by repeated subtraction.
80 3 77.
Repeated subtraction method.
17 17 0.
Step x 88 19 69.
Let us take an example to learn this method.