Algebra Examples

$\sqrt[3]{27 \sqrt{3}}$

Step 1

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

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

Step 2

Pull terms out from under the radical.

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

Step 3

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

$3 \sqrt[6]{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[6]{3}$

Decimal Form:

$3.60281086 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$