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What is the smallest positive integer n such that 3n is a perfect square and 2n is a perfect cube?

qwertyuiopasdfghjkl Apr 7, 2020

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Best Answer

+4609

+1

We need at least two three's and three two's...

We have to add one more three and two more two..

However, 2*3*2*2 is not a perfect cube but 3*3*2*2

We need three 3's and two 2's..

3^3*2^2=27*4=108-smallest positive integer.

tertre Apr 7, 2020

2⁺⁰ Answers

+538

+1

Im pretty sure its 108...

EDITED FROM MISTAKE

MooMooooMooM Apr 7, 2020

edited by MooMooooMooM Apr 7, 2020

+4609

+1

Best Answer

We need at least two three's and three two's...

We have to add one more three and two more two..

However, 2*3*2*2 is not a perfect cube but 3*3*2*2

We need three 3's and two 2's..

3^3*2^2=27*4=108-smallest positive integer.

tertre Apr 7, 2020

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