Answer:
First option: 5 to the power of one sixth ( [tex]5^{\frac{1}{6}}[/tex])
Step-by-step explanation:
It is important to remember the following:
[tex]\sqrt[n]{\sqrt[m]{a} }=\sqrt[nm]{a}[/tex]
[tex]\sqrt[n]{a}=a^{\frac{1}{n}[/tex]
In this case, given:
[tex]\sqrt[2]{\sqrt[3]{5} }[/tex]
You can identify that:
[tex]n=2[/tex] and [tex]m=3[/tex]
Therefore, knowing this, you can conclude that:
[tex]=\sqrt[2*3]{5}=\sqrt[6]{5}=5^{\frac{1}{6}}[/tex]
You can observe that this answer matches with the second option.
