In this article we will learn how to find the square root of a number through repeated subtraction.
Find the square root of 225 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.
Learn to find the square root by division method.
Finding square root using repeated subtraction method linkedin profile.
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.
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.
Sum of the first n odd natural numbers is equal to n 2.
We will use this fact to find the square root of a number by repeated subtraction.
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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.
There are several methods for the same.
Square root of 100.
15 3 12 step 3.
Square root by repeated subtraction.
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.
First check whether the given number is a perfect square number or not.
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.
Therefore 4 is the square root of 16.