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17 February, 19:11

Is 2352 a perfect square? If not, find the smallest multiple of 2352 which is a perfect square. Find the square root of the new number.

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  1. 17 February, 19:31
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    One way of doing this is to use prime factorization.

    2352 = 3 x 4 x 4 x 7 x 7

    Looking at the above numbers, we see that if there was another 3 factor, it would be a perfect square.

    So if our number was 3 x 3 x 4 x 4 x 7 x 7, it would be a perfect square.

    That number multiplies out to be 7056. The square root of this number would be 3 x 4 x 7 = 84. Yay!
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