Find The Square Root Of 169 By Repeated Subtraction Method

Therefore 4 is the square root of 16.

Find the square root of 169 by repeated subtraction method.

16 1 15 step 2. There are several methods for the same. We know that the sum of the first n odd natural numbers is n 2. 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.

15 3 12 step 3. Sum of the first n odd natural numbers is equal to n 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. Find the square roots of 100 and 169 by the method of repeated subtraction.

First check whether the given number is a perfect square number or not. Find square root of 16 by repeated subtraction method. Square root of 100. 12 5 7 step 4.

Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed. 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. Square root by repeated subtraction. As explained in property 4 of square numbers and the square number is the sum of successive odd numbers starting from 1 and you can find square root of a number by repeatedly subtracting successive odd numbers which is also starting from 1 from the given square number till you get zero.

Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. We will use this fact to find the square root of a number by repeated subtraction. Question from ncert maths class 8 chapter 6 exercise 6 3 question 3 squares and square roots cbse rbse up mp bihar board question text find the squ.