SOLUTION: find each expression as a single radical. then simplify your answer. the square root of the square root of 80???

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Question 88104: find each expression as a single radical. then simplify your answer.
the square root of the square root of 80???
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28sqrt%2880%29%29
For a problem, like this, I recognize that the square root
of a number can be written as the number raised to the 1/2 power. So I can rewrite this problem as:
%2880%5E%281%2F2%29%29%5E%281%2F2%29
Using the laws of exponents, I can simplify this to be:
80%5E%281%2F4%29
This is the same as the 4th root of 80. (sorry this site doesn't allow me to write
that in a nice format).
Since 80 can be represented as 2*2*2*2*5, I can pull a single 2 out from under
the 4th root radical. This leaves me with:
2*(4th root of (5))
Good Luck,
tutor_paul@yahoo.com