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Question

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By what least number should 324 be multiplied to get a perfect cube?
(a) 12
(b) 14
(c) 16
(d) 18

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Solution

(d) 18



324 = 2×2×3×3×3×3 = 2×2×3×33

Therefore, to show that the given number is the product of three triplets, we need to multiply 324 by 2×3×3.
In other words, we need to multiply 324 by 18 to make it a perfect cube.

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