Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
in this exercise, when asking you to simplify the fraction, you are actually asking to rationalize the denominator, that is, you operate the fraction until any square root of the denominator disappears
In order to do that, the first thing to do is multiply both the denominator and the numerator by the root that you want to eliminate, that is, by [tex]\sqrt{5}[/tex] :
[tex]\frac{5}{\sqrt{5}}*\frac{\sqrt{5} }{\sqrt{5} } =\frac{5*\sqrt{5} }{\sqrt{5} *\sqrt{5} } = \frac{5\sqrt{5} }{\sqrt{5} ^{2} } =\frac{5\sqrt{5} }{5} =\sqrt{5}[/tex]
