Find The Square Root Of 196 By Repeated Subtraction Method

16 1 15 step 2.

Find the square root of 196 by repeated subtraction method.

Find the square root of the number 144 using repeated subtraction method. 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. The count of odd numbers used in this process will give the square root of the number n. We know that the sum of the first n odd natural numbers is n 2.

We will use this fact to find the square root of a number by repeated subtraction. Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. Therefore 4 is the square root of 16. 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. View answer for each of the following find the least number that must be added so that the resulting number is a perfect square. Square root of 100. 15 3 12 step 3.

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. 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 by repeated subtraction.

Sum of the first n odd natural numbers is equal to n 2. Finding square root using repeated subtraction method linkedin profile. There are several methods for the same. 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.

First check whether the given number is a perfect square number or not. Mmmmcl1975 mmmmcl1975 29 06 2018 math secondary school 5 pts. Find square root of 16 by repeated subtraction method.