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Algebra Level 2

find a least perfect square number which is also a perfect cube number & divisible by 3 3


The answer is 729.

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1 solution

Vishal S
Jan 24, 2015

If a number should be divisible by 3 and it must be perfect square and perfect cube, the number must be a power of 3.

Since 2 7 2 27^2 = 9 3 9^3 =729

Therefore he least perfect square number which is also a perfect cube number &
divisible by 3 is 729 \boxed{729}

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