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​Select the smallest natural number that should be added to or subtracted from the sum of the squares of 15 and 16 to make it a perfect square?​
Question

Select the smallest natural number that should be added to or subtracted from the sum of the squares of 15 and 16 to make it a perfect square?

A.

81

B.

3

C.

40

D.

19

Correct option is B

Given:

Sum of square of 15 and 16

Solution:

Square of 15 = 15 ×\times​ 15 = 225

Square of 16 = 16 ×\times​ 16 = 256

Sum of squares = 225 +256 = 481

Square of 22 = 484

Hence the number to be added to 481 is 484-481 = 3

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