Evaluate 12 root of 81

$\sqrt[12]{81}$

Step 1

Rewrite $81$ as $3^{4}$ .

$\sqrt[12]{3^{4}}$

Step 2

Rewrite $\sqrt[12]{3^{4}}$ as $\sqrt[3]{\sqrt[4]{3^{4}}}$ .

$\sqrt[3]{\sqrt[4]{3^{4}}}$

Step 3

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

$\sqrt[3]{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{3}$

Decimal Form:

$1.44224957 \dots$