Find The Square Root Of 196 By Repeated Subtraction Method

In this article we will learn how to find the square root of a number through repeated subtraction.

Find the square root of 196 by repeated subtraction method. Sum of the first n odd natural numbers is equal to n 2. Square root by repeated subtraction. First check whether the given number is a perfect square number or not. 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.

Therefore 4 is the square root of 16. View answer for each of the following find the least number that must be added so that the resulting number is a perfect square. There are several methods for the same. We know that the sum of the first n odd natural numbers is n 2.

Finding square root using repeated subtraction method linkedin profile. 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. 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. We will use this fact to find the square root of a number by repeated subtraction.

Answered find the square root of 169 by repeated subtraction method 2 see answers arshbbcommander arshbbcommander 169 1 168 168 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. 12 5 7 step 4. 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.

Square root of 100. Find square root of 16 by repeated subtraction method. 16 1 15 step 2. The count of odd numbers used in this process will give the square root of the number n.

Find the square root of 169 by repeated subtraction method 4440731 1. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed. 15 3 12 step 3.