Algebra Examples

$\sqrt[6]{27}$

Step 1

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

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

Step 2

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

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

Step 3

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

$\sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$