Question

Simplify. Express the product as a radical expression.

\[\sqrt[11]{x^5} \times \sqrt{x}\]

Answer 1

i think its \[\sqrt[22]{x^5}\]

Answer 2

\[\sqrt[11]{x^5}= x^{5/11}\]
\[\sqrt{x}=x^{1/2}\]

Now, \[\sqrt[11]{x^{5}}*\sqrt{x} = x^{5/11}*x^{1/2}\]
\[= x^{5/11 + 1/2}\]
\[=x^{21/22}\]
or
\[=\sqrt[22]{x^{21}}\]