Evaluate ninth root of 27

$\sqrt[9]{27}$

Step 1

Rewrite $27$ as $3^{3}$ .

$\sqrt[9]{3^{3}}$

Step 2

Rewrite $\sqrt[9]{3^{3}}$ as $\sqrt[3]{\sqrt[3]{3^{3}}}$ .

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

Step 3

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

$\sqrt[3]{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{3}$

Decimal Form:

$1.44224957 \dots$