We will use this fact to find the square root of a number by repeated subtraction.
Find the square root of 169 by repeated subtraction.
We know that the sum of the first n odd natural numbers is n 2.
Repeated subtraction method.
16 1 15 step 2.
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.
Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.
We will subtract the consecutive odd numbers from the number for which we are finding the square root till we reach 0.
Therefore 4 is the square root of 16.
Let us take an example to learn this method.
Find the square root of 100 and 169 by the method of repeated subtraction i am giving you guys 10 points so think well say it pls i have online test tomorrow maths i dont like maths do you guys like maths say while you write the answer.
Square root by repeated subtraction.
15 3 12 step 3.
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.
Find square root of 16 by repeated subtraction 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.
This is a very simple method.
Say you are required to find the square root of 121 that is 121.
Square root of 100.