Is this the simplest form for $\sqrt{1+\sqrt{x}}\sqrt{x}$

Question

I am trying to simplify $$\sqrt{1+\sqrt{x}}\sqrt{x}$$

Would I be able to move the $\sqrt{x}$ under the other radical so it would become $$\sqrt{(1+\sqrt{x})x}$$ $$\sqrt{(x+x\sqrt{x})}$$

I vaguely remember a rule which allowed me to do this but I wasn't really sure. I have checked this on WolframAlpha and the $\sqrt{x}$ was not moved into the other radical. Could someone clarify whether or not this works? Thank you!

Answer 1

Wolframalpha didn't find any other alternates, so I would guess you cannot simplify it anymore: http://www.wolframalpha.com/input/?i=sqrt%28x%2Bxsqrt%28x%29%29