We know that the sum of the first n odd natural numbers is n 2.
Find the square root of 169 by repeated subtraction.
Find square root of 16 by repeated subtraction method.
Say you are required to find the square root of 121 that is 121.
12 5 7 step 4.
15 3 12 step 3.
We can use the subtraction method prime factorisation method approximation method and long division method to find the square root of a given number.
We will use this fact to find the square root of a number by repeated subtraction.
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.
Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.
Let us take an example to learn this 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.
Square root of 100.
7 7 0 as you can see that given number 16 was repeatedly subtracted by successive odd numbers starting from 1 and we get zero in forth step.
First check whether the given number is a perfect square number or not.
Square root by repeated subtraction.
This is a very simple method.
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.