Question

How do you rationalize `sqrt(x/5)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`sqrt(x/5) => sqrt(x)/sqrt(5)`

Next, multiply the fraction by the appropriate form of `1`:

`sqrt(x)/sqrt(5) => sqrt(5)/sqrt(5) xx sqrt(x)/sqrt(5) => (sqrt(5)sqrt(x))/(sqrt(5)sqrt(5)) = sqrt(5x)/5`