So square root of 121 is 11.
Find the square root of 196 by repeated subtraction.
Sum of the first n odd natural numbers is equal to n 2.
Say you are required to find the square root of 121 that is 121.
We will use this fact to find the square root of a number by repeated subtraction.
To find square root we subtract consecutive odd numbers from number till we obtain 0 square root total numbers subtracted let s take an examplesuppose we need to find 81square root of 8181 1 8080 3 7777 5 7272 7 6565 9 5656 11 4545 13 3232 15 1717 17 0since aft.
16 1 15 step 2.
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.
The count of odd numbers used in this process will give the square root of the number n.
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.
12 5 7 step 4.
We know that the sum of the first n odd natural numbers is n 2.
15 3 12 step 3.
Let us take an example to learn this method.
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.
View answer for each of the following find the least number that must be added so that the resulting number is a perfect square.
Therefore 4 is the square root of 16.
Square root of 100.
Similarly for 169 we have to do so but we will not get zero in any step.
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.
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.
Complete the repeated subtraction to find the square root of 2 2 5.
Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.
Find the square root of 1 3 3 1 using repeated subtraction.
Find square root of 16 by repeated subtraction method.