Find The Square Root Of 144 By 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.

Find the square root of 144 by repeated subtraction method.

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 4440731. Square root of 100. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed.

First check whether the given number is a perfect square number or not. There are several methods for the same. 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. 16 1 15 step 2.

Answered find the square root of 169 by repeated subtraction method 2 see answers arshbbcommander arshbbcommander 169 1 168 168 3 165 165 5 160 160 7 153 153 9 144 144 11 133 133 13 120 120 15 105 105. We will use this fact to find the square root of a number by repeated subtraction. Mmmmcl1975 mmmmcl1975 29 06 2018 math secondary school 5 pts. 15 3 12 step 3.

We know that the sum of the first n odd natural numbers is n 2. 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. Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. Find square root of 16 by repeated subtraction method.

Square root by repeated subtraction. Sum of the first n odd natural numbers is equal to n 2. The count of odd numbers used in this process will give the square root of the number n. 12 5 7 step 4.