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Take LCM of a number and if the LCM denominators fall in pair able group it is a perfect square. for eg: to know the whether 6084 is square number the L.C.M will be

2, 2, 3, 3, 13 & 13

so we have 3 pairs of 2, 3 & 13

therefore 6084 is a square of 2 x 3 x 13 = 78

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