Question

Find the square root of 25 by repeated subtraction.

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is C 5

We know that sum of consecutive odd numbers is a square number.

If we subtract the consecutive odd numbers from the given square number, we will eventually get 0.

The number of steps taken to get 0 is equal to the square root of the given number.

$\text{Step 1:}25-1=24\text{Step 2:}24-3=21\text{Step 3:}21-5=16\text{Step 4:}16-7=9\text{Step 5:}9-9=0$

The number of steps taken to get 0 is 5.
Hence, the square root of 25 is 5.