Question:
Find the smallest Number by which 3456 must be divided so that the quotient become a perfect cube . Find the cube root of the quotient.
Answer:
3456 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3
Hence the number should be divided by 2 in order to make a perfect cube.
Hence the number = 3456/2 = 1728
Now, 3√(1728) = 3√(2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3)
= 2 * 2 * 3
= 12
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