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Question

Find the square root of 25 by repeated subtraction.

A
3
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B
4
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C
5
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D
6
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Solution

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.

Step 1: 251=24Step 2: 243=21Step 3: 215=16Step 4: 167=9Step 5: 99=0

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

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