Question

What is the square root of 500x^3 all over the square root of 10x^-1 ??

Answer 1

I got 7.0710678...(you can just round it if you want)

Answer 2

do you mean to simplify like this ?

\[\frac{\sqrt{500x^3}}{\sqrt{10x^{-1}}}\]

this is the same as
\[\sqrt{\frac{500x^3}{10x^{-1}}}\]
\[\sqrt{\frac{50x^3}{x^{-1}}}\]
\[\sqrt{50x^4}\]
\[x^2\sqrt{50}\]