Find The Square Root Of 256 By Repeated Subtraction Method

1 finding square roots through reducing square roots.

Find the square root of 256 by repeated subtraction method.

Finding square roots through reducing square roots repeated subtraction method in this method the given number is subtracted by 1 3 5 7 at every step till you get zero at the end. Square root by repeated subtraction. Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. We know that the sum of the first n odd natural numbers is n 2.

The number of steps gives you the square root. 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. Answered find the square root of 169 by repeated subtraction method 2 see answers arshbbcommander arshbbcommander 169 1 168 168 3. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed.

We will use this fact to find the square root of a number 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. Examples 1 49 solution. Find the square root of 169 by repeated subtraction method 4440731 1.

12 5 7 step 4. 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. Finding square root using repeated subtraction method linkedin profile. 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.

I 49 1. The count of odd numbers used in this process will give the square root of the number n. Sum of the first n odd natural numbers is equal to n 2. Therefore 4 is the square root of 16.

Square root of 100. First check whether the given number is a perfect square number or not. 16 1 15 step 2. Find square root of 16 by repeated subtraction method.

15 3 12 step 3.