How do I solve for the square root of 15/x^3?

5 answers

Really nothing to "solve" here, since there is no equation.
You can rewrite it in several ways, here is one way:

√(15/x^3)
= √15/(x√x)

or you could rationalize it

√(15/x^3)
= √(15/x^3) * √x^3/√x^3
= √15 x√x /x^3
= √(15x)/x^2

other variations are also possible
Or well, it says "simplify the radical expression." I know the answer is √15/x but I don't understand how to get it.
√(15/x^3) , (your question ) is not equal to √15/x

e.g. let x = 2

√(15/x^3) = √(15/8) = 1.3693..
√15/x = √15/2 = 1.93649...

test x = 2 in both of my answers, it works
Oops!! I'm so sorry. I just realized that I wrote the problem wrong. It's actually 15x/x^3
Nevermind, I figured out how to do it.
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