Question

Simplify this radical expression and show your work.

Answer 1

\[\sqrt{7x ^{3} \over 3}\]

Answer 2

\[x \sqrt{(7x)/3}\]
recall you need two of something for the item to exit this radical.
You have x to the third power, that means you have 3 xs.
Therefore one has to stay behind.
For example
\[\sqrt{4}=\sqrt{2(2)}=2\]
\[\sqrt{x ^{3}}=\sqrt{xxx}=x \sqrt{x}\]