Question

Find the smallest number by which 2592 be multiplied so that the product is a perfect square.

Answer 1

Answer:

Prime

factorisation of 2592=2×2×2×2×2×3×3×3×3

On grouping the factors in pairs, we notice that one 2 is left out. Hence,we should multiply 2592 with 2, so that prime factor 2 gets grouped in pairs.

Hence, 2592 should be multiplied by 2 to make it a perfect square.

Answer 2

$\huge\mathfrak\red{Answer}$ :-

Prime factorisation of

2592 = 2×2×2×2×2×3×3×3×3

On grouping the factors in pairs, we notice that one 2 is left out. Hence, we should multiply 2592 with 2, so that prime factor 2 gets grouped in pairs.

Hence, 2592 should be multiplied by 2 to make it a perfect square.

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