ANSWER
[tex]\sqrt{5} [/tex]
EXPLANATION
The given radical expression is
[tex]5 \div \sqrt{5} [/tex]
This can be rewritten as
[tex] \frac{5}{ \sqrt{5} } [/tex]
We rationalize the denominator to get:
[tex]\frac{5}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]
Recall that
[tex] \sqrt{x} \times \sqrt{x} = x[/tex]
This implies that,
[tex] \frac{5 \sqrt{5} }{5} [/tex]
Cancel out the common factors to get,
[tex] \sqrt{5} [/tex]
