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15 May, 01:44

Is 2352 a perfect square if not find the smallest multiple of 2352 which is a perfect square also find its root?

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  1. 15 May, 02:08
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    You can do this by finding the prime factors of 2352

    2352 = 2 * 2 * 2 * 2 * 3 * 7 * 7

    We see that its not a perfect square because there is only one 3. If we multiply by another 3 we will have a perfect square.

    2*2*2*2*3*3*7*7 = 7056 which is the smallest perfect square as required.

    square root of 7056 = 2 * 2 * 3 * 7 = 84 answer
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