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Q.

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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a

5,26

b

4,27

c

4,23

d

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.
Question ImageWe 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, 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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