Find The Square Root Of 169 By Repeated Subtraction Method

Sum of the first n odd natural numbers is equal to n 2.

Find the square root of 169 by repeated subtraction method.

First check whether the given number is a perfect square number or not. Therefore 4 is the square root of 16. Square root by repeated subtraction. The count of odd numbers used in this process will give the square root of the number n.

Square root of 100. Find the square roots of 100 and 169 by the method of repeated subtraction. 12 5 7 step 4. 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.

15 3 12 step 3. We know that the sum of the first n odd natural numbers is n 2. 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.

In this article we will learn how to find the square root of a number through 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. 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. 16 1 15 step 2.

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. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed. Find square root of 16 by repeated subtraction method.