find the smallest number by which 2592 be multiplied so that the product is a perfect square by explanation
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Hence, we should multiply with 2, so that prime factor 2 gets grouped in pairs. And since, according to the question we were told to find the smallest number by which 2592 should be multiplied so that it can be made a perfect square then the answer should be 2.
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Answer:
On grouping the prime factors of 2592 as shown; on factor i.e. 2 is left which cannot be paired with equal factor.
2592=2×2×2×2×2×3×3×3×3
The given number should be multiplied by 2 to make the given number a perfect square.
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