SOLUTION: negative cube root of 7p/r^4

Question 384579: negative cube root of 7p/r^4
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

I assume we are supposed to simplify the expression. With radical expressions part of simplifying is to rationalize denominators (which includes eliminating fractions within a radical).

With a fraction inside the radical I like to start by multiplying the numerator and denominator of the fraction what whatever it takes to create a denominator that is a power of the type of root. This is a cube root so we want the denominator to become a perfect cube. The "nearest" perfect cube is . So:

Now we can use a property of radicals, , to split the numerator and denominator into separate radicals:

And the denominator simplifies:

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