Evaluate sixth root of 125

$\sqrt[6]{125}$

Step 1

Rewrite $125$ as $5^{3}$ .

$\sqrt[6]{5^{3}}$

Step 2

Rewrite $\sqrt[6]{5^{3}}$ as $\sqrt{\sqrt[3]{5^{3}}}$ .

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

Step 3

Pull terms out from under the radical, assuming real numbers.

$\sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$