find the smallest number by which 2592 be multiplied so that the product is a perfect square
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soln: By prime factorisation, we get 2592=2×2×2×2×2×3×3×3×3=(2²×2²×2×3³×3³)
It is clear than in order to get a perfect square, one more 2 is required.
so, the given number should be multiplied by 2 to make the product a perfect square.
Step-by-step explanation:
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