SOLUTION: Find the square root of a fraction. Example: cube to the square root of 8 over 27.

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Question 255880: Find the square root of a fraction.
Example: cube to the square root of 8 over 27.

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
Suppose we are given

the rules allow you to separate to get

Or as fractional exponents, we can say
.
From here you can reduce a/b if appropriate or apply the powers.
EX:
since you can't reduce the terms, split them apart as

and then simplify to get

rationalizing the denominator gets us

--
ex:
taking square roots first, we get

second, apply the cube power to get

which is

rationalized, it is

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