Complete the repeated subtraction to find the square root of 2 2 5.
Find the square root of 196 by repeated subtraction.
Similarly for 169 we have to do so but we will not get zero in any step.
We will use this fact to find the square root of a number by repeated subtraction.
For each of the following find the least number that must be added so that the resulting number is a perfect square.
We know that the sum of the first n odd natural numbers is n 2.
Find the square root of 1 3 3 1 using repeated subtraction.
The count of odd numbers used in this process will give the square root of the number n.
16 1 15 step 2.
Say you are required to find the square root of 121 that is 121.
Find square root of 16 by repeated subtraction method.
Sum of the first n odd natural numbers is equal to n 2.
View answer for each of the following find the least number that must be added so that the resulting number is a perfect square.
Square root by repeated subtraction.
12 5 7 step 4.
Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed.
Square root of 121 by repeated subtraction method.
So square root of 121 is 11.
1 121 1 120 2 120 3 117 3 117 5 112 4 112 7 105 5 105 9 96 6 96 11 85 7 85 13 72 8 72 15 57 9 57 17 40 10 40 19 21 11 21 21 0 total 11 step are there to reach zero.
Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.
Find the square root of 6 2 5 using 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.
Therefore 4 is the square root of 16.
First check whether the given number is a perfect square number or not.
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.
Square root of 100.
Let us take an example to learn this method.