Find the least number which must be added to 525 so as to get a perfect square. Also, find the square root of the perfect square so obtained.

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5, 26

4, 27

4, 23

3, 25

answer is C.

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Detailed Solution

Given number is 525.
We try to find out the square root of

525

We observe that

(22)^{2} < 525 < (23)^{2}

.
The required number to be added

= (23)^{2} - 525 = 529 - 525 = 4

∴

Required perfect square number

= 525 + 4 = 529

Clearly,

\sqrt{529} = 23

.
Thus, 4 must be added to 525 to make it a perfect square of 23.
Therefore, option (3) is correct.

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