Question

What is √x√x√x ?

Answer 1

\[x \sqrt{x}\]

Answer 2

Or \[x ^{3/2}\]

Answer 3

= x ^ ( 1/2 + 1/.2 + 1/2 ) = x ^ (3/2)

Answer 4

Uh idk how to write it here but its like this √x is a root of x which is a root of √x.

Answer 5

And the answer choices are x^7/8 x^7/4 x^15/16 x^3/4 and x^15/8

Answer 6

\[\sqrt[x]{\sqrt[x]{x}}\] ?

Answer 7

\begin{eqnarray*}\sqrt{x\sqrt{x\sqrt{x}}} &=& \left(x\left(x\left(x\right)^{1/2}\right)^{1/2}\right)^{1/2}\\&=&\left(x\left(x^{3/2}\right)^{1/2}\right)^{1/2}\\&=&\left(x\cdot x^{3/4}\right)^{1/2}\\&=&\left(x^{7/4}\right)^{1/2}\\&=&x^{7/8}.\end{eqnarray*}

Answer 8

Inspired interpretation!

Answer 9

Yea @krebante its like that ! thank you :D