In this article we will learn how to find the square root of a number through repeated subtraction.
Square root of 196 by repeated subtraction method.
Find the square root of 6 2 5 using repeated subtraction.
Square root by repeated subtraction.
Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed.
Let us consider another example to find the square root of 81 by repeated subtraction.
80 3 77.
Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.
9 1 8 step 2.
32 15 17.
77 5 72.
The count of odd numbers used in this process will give the square root of the number n.
32 15 17.
45 13 32.
Let us consider another example to find the square root of 81 by repeated subtraction.
77 5 72.
View answer for each of the following find the least number that must be added so that the resulting number is a perfect square.
Find the square root of the number 144 using repeated subtraction method.
Therefore 3 is the square root of 9 or we can also write it as.
17 17 0.
There are several methods for the same.
Find square root of 9 by repeated subtraction method.
5 5 0 as you can see that given number 9 was repeatedly subtracted by successive odd numbers starting from 1 and we get zero in third step.
Sum of the first n odd natural numbers is equal to n 2.
65 9 56 56 11 45.
View answer for each of the following find the least number that must be added so that the resulting number is a perfect square.
8 3 5 step 3.
Square root of 81 by repeated subtraction.
Square root of 100.
We know that the sum of the first n odd natural numbers is n 2.
81 1 80.
Let us find the square root of 81 by repeated subtraction method.
Find the square root of 144 by repeated subtraction method 2 see answers subhu0 subhu0 144 1 143 143 3 140 140 5 135 135 7 128 128 9 119 119 11 108 108 13 95 95 15 80.
81 1 80.
72 7 65.
We will use this fact to find the square root of a number by repeated subtraction.
Square root of 81 by repeated subtraction.
17 17 0.
45 13 32.
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.
Let us find the square root of 81 by repeated subtraction method.
65 9 56 56 11 45.