Simplify each radical expression

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Simplify each radical expression.
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simplify each radical expression. Assume all variables represent positive real numbers. Here are six problems. I had trouble typing them; don't have equation keyboard.

√48
Solution. As , we have

√20n^25

Solution. As , we have

4√32m^11
Solution. As , we have

Find the domain of each radical expression. Use interval notation
4√-5x-1

Solution. For the function , we have

i.e.,

So,

So, the domain is .

Simplify the expressions involving rational exponents. Assume all variables represent positive real numbers. Write your answers with positive exponents.

1000 -2/3

Solution. Since , we have

(t^-1/2) - ^2 (t^-2 v^2)

Solution. I assume that your question is
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