(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(-3/x^(1/2)) / ((2/y^(1/2))-8)

which, from my book, I see can be rewritten with radicals as:

(-3/sqrt(x)) / ((2-8sqrt(y))/(sqrt(y)))

3. The attempt at a solution

Now, what I don't understand is how the denominator was rewritten. I understand that in the numerator, the 1/( x^(1/2)) becomes sqrt(x), but why does the denominator turn out like it does? Why do I end up with two seperate "sqrt(y)" terms? Could someone perhaps walk me through what was done to rewrite the denominator with radicals as shown above^? I would greatly appreciate it. I know that the rewritten expression that I have is correct because it is from my book, but I just don't understand how they rewrote it.

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# Homework Help: Question about rewriting an expression with radicals

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