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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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