Question

check whether 54900 and 1568 are perfect squares. If not ,find the smallest number by which these should be multiplied to make them a perfect squares.

hint : by prime factorisation
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Answer 1

54900 = 2×2×3×3×5×5×61

54900 should be multiplied with 61 to get perfect square.

3348900

1568 = 2×2×2×2×2×7×7

1568 should be multiplied with 2 to get a perfect square.

3137