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.
Find the square root of 169 by repeated subtraction method.
Square root of 100.
Sum of the first n odd natural numbers is equal to n 2.
We know that the sum of the first n odd natural numbers is n 2.
Square root 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.
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.
16 1 15 step 2.
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.
Find the square roots of 100 and 169 by the method of 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.
Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed.
There are several methods for the same.
First check whether the given number is a perfect square number or not.
The count of odd numbers used in this process will give the square root of the number n.
15 3 12 step 3.
In this article we will learn how to find the square root of a number through repeated subtraction.
Related questions solutions 1 the students of class viii of a school donated rs 2401 in all for prime minister s.
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.