Algebra Examples

$\sqrt[9]{8}$

Step 1

Rewrite $8$ as $2^{3}$ .

$\sqrt[9]{2^{3}}$

Step 2

Rewrite $\sqrt[9]{2^{3}}$ as $\sqrt[3]{\sqrt[3]{2^{3}}}$ .

$\sqrt[3]{\sqrt[3]{2^{3}}}$

Step 3

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

$\sqrt[3]{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{2}$

Decimal Form:

$1.25992104 \dots$