What smallest number should be added to the sum of squares of 15 and 14 so that the resulting number is a perfect square?

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Solution

The correct option is C 20
Sum of squares of 15 and 14
= $15^{2} + 14^{2}$ = 225+196 = 421
The nearest perfect square is $21^{2}$ =441
SO, the smallest numnber that should be added to the square of 15 and 14 will be
441-421 = 20

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