Step v 153 9 144.
Square root of 169 by repeated subtraction.
Repeated subtraction method.
17 17 0.
Let us find the square root of 81 by repeated subtraction method.
First check whether the given number is a perfect square number or not.
72 7 65.
9 1 8 step 2.
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.
45 13 32.
Step vi 144 11 133.
Step iv 160 7 153.
Step iii 165 5 160.
Square root by repeated subtraction.
Find square root of 9 by repeated subtraction method.
Square root of 100.
32 15 17.
80 3 77.
Step ix 105 17 88.
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.
Let us take an example to learn this method.
Step x 88 19 69.
0 is obtained at the 10th step.
We know that the sum of the first n odd natural numbers is n 2.
65 9 56 56 11 45.
Step ii 168 3 165.
Hence 10 is the square root of 100.
Step vii 133 13 120.
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.
Find the square root of 6 2 5 using repeated subtraction.
8 3 5 step 3.
Step i 169 1 168.
Say you are required to find the square root of 121 that is 121.
Square root of 81 by repeated subtraction.
77 5 72.
This is a very simple method.
Ex 6 3 3 find the square roots of 100 and 169 by the method of 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.
Square root of 169 by method of subtraction.
81 1 80.