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Sixth integer root and integer square root

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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Sixth integer root and integer square root

by valleeny » Sat Jan 02, 2010 10:21 pm
Any number with a sixth integer root will have a integer square root. Can someone explain why? Eg. 64 has a 6th root integer 2 and square root integer 8. This applies for all integers that have a sixth root integer; that integer will have an integer square root.
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by valleeny » Sun Jan 03, 2010 5:34 am
Similarly, 64 also has a perfect cube root of 4 and a perfect square of 8. Any method to recognise this pattern?
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by papgust » Sun Jan 03, 2010 6:02 am
I'm not aware of any such method. You just need to remember the pattern. It's good to memorize the perfect squares upto 30 and perfect cubes upto 10 or 15.
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