Question

Find the square root of 100 using repeated subtraction.

Answer 1

Hint: To solve this problem we need to know about repeated subtraction. Repeated subtraction is a method of subtracting the equal of the number of items for a larger group.

Complete step-by-step answer:
Here we need to find the square root of 100 using the repeated subtraction method.
To find the square root, we have to subtract successive odd numbers from the number till we obtain zero.
So for the repeated subtraction let us the number as 3 since according to the condition the number should be odd.
The process is as follows:
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
We have subtracted odd numbers from the given number.
Here we have started the process with subtracting 1 from 100 which gives ,next we have subtracted 3 from 99 which gives 96 and the process continues till the value is equal to zero.
The number of steps for which this operation has been performed will give the square root of the number.
In our cases we have performed 10 steps to get 0.
Hence the square root of 100 is 10.

Note: The above problem is of the concept of repeated subtraction which means of subtracting the equal of number of items for larger groups. But here they have asked to find the square root value using repeated subtraction. So make a note that for finding the square root value of a number using repeated subtraction we have to subtract successive odd numbers from the number till we obtain zero. Here the square root value is equal to the number of operations we have performed.