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21 August, 22:19

What is the smallest positive integer n such that 2n is a perfect square and 3n is a perfect cube?

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  1. 21 August, 23:26
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    Short answer 2 * 2 * 2 * 3 * 3

    When you multiply by 2 you get 144 which is a perfect square.

    When you multiply by 3 you get 216 which is a perfect cube

    So the answer is 2 * 2 * 2 * 3 * 3 = 72
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