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    Find the smallest number by which 720 should be multiplied so that the product becomes a perfect square.
    Question

    Find the smallest number by which 720 should be multiplied so that the product becomes a perfect square.

    A.

    4

    B.

    3

    C.

    6

    D.

    5

    Correct option is D

    Given:

    Number = 720

    Concept Used:

    To make a number a perfect square, all prime factors must have even powers.

    Solution:

    720 =24×32×51 2^4 \times 3^2 \times 5^1​​

    242^4 ​(even power)

    323^2 ​ (even power)

    515^1​ (odd power)

    To make the power of 5 even, multiply by 5.

    The smallest number to multiply 720 to make it a perfect square is 5.

    Option (D) is right.

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