SOLUTION: Please help with the following question. Thank you square root of x multiplied by the 4th root of x+4. I am to use Rational exponents to wrtie a single radical expression. T

Question 142182: Please help with the following question. Thank you
square root of x multiplied by the 4th root of x+4. I am to use Rational exponents to wrtie a single radical expression.
Thanks so much
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Rewrite as

Rewrite as . Notice how

Rewrite as

Rewrite as

Combine the square roots.

So simplifies to

If you want you can go further and do...

Rewrite as

Combine the inner square roots

Rewrite each square root as a rational exponent

Multiply the exponents

Multiply

Convert the rational expression to a radical expression

Distribute

So also simplifies to where
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