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2013 UNCO Math Contest II Problems/Problem 2

Revision as of 18:21, 19 October 2014 by Timneh (talk | contribs) (moved 2013 UNC Math Contest II Problems/Problem 2 to 2013 UNCO Math Contest II Problems/Problem 2: disambiguation of University of Northern Colorado with University of North Carolina)

Problem

EXAMPLE: The number $64$ is equal to $8^2$ and also equal to $4^3$, so $64$ is both a perfect square and a perfect cube.

(a) Find the smallest positive integer multiple of $12$ that is a perfect square.

(b) Find the smallest positive integer multiple of $12$ that is a perfect cube.

(c) Find the smallest positive integer multiple of $12$ that is both a perfect square and a perfect cube.

Solution

See Also

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