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