Square root

square root equals to the power of 0,5 so you can multiply them.

Yeah! Of course.

$\sqrt{2}^{\sqrt2}\text{<--- this looks like fun}$

= $2^{\frac{1}{\sqrt2}}$

$\sqrt2 ^ {\sqrt 2^{\sqrt2}}\text{ <--- this looks like more fun}\\ = 2^{\frac{1}{\sqrt2}\times \sqrt2}\\ = 2$