Simplify the Radical Expression 10 root of 3^5

$\sqrt[10]{3^{5}}$

Raise $3$ to the power of $5$ .

$\sqrt[10]{243}$

Rewrite $243$ as $3^{5}$ .

$\sqrt[10]{3^{5}}$

Rewrite $\sqrt[10]{3^{5}}$ as $\sqrt{\sqrt[5]{3^{5}}}$ .

$\sqrt{\sqrt[5]{3^{5}}}$

Pull terms out from under the radical.

$\sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$