Question

Find the smallest number by which each of the following numbers must be multiplied to obtain perfect cube 576
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Answer 1

Step-by-step explanation:

576 = 2×2×2×2×2×2×3×3

576 = 2³ × 2³ × 3²

576 = 4³ × 3²

we need to multiply 576 with 3 to get a perfect cube

576 × 3 = 1728

$\sqrt[3]{1728} = \sqrt[3]{ {4}^{3} \times {3}^{3} } = 4 \times 3 = 12$

Hope you get your answer