Answer:
[tex]\dfrac{\sqrt{30}}{5}[/tex]
Step-by-step explanation:
The given expression is
[tex]\dfrac{\sqrt{6}}{\sqrt{5}}[/tex]
We need to find the simplest radical form.
A simplest radical form is the result of simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find after rationalizing denominator (if needed).
Multiply numerator and denominator by [tex]\sqrt{5}[/tex] to rationalize denominator.
[tex]\dfrac{\sqrt{6}}{\sqrt{5}}\times \dfrac{\sqrt{5}}{\sqrt{5}}[/tex]
[tex]\dfrac{\sqrt{6\times 5}}{(\sqrt{5})^2}[/tex]
[tex]\dfrac{\sqrt{30}}{5}[/tex]
Therefore, the simplest radical form is [tex]\dfrac{\sqrt{30}}{5}[/tex].
