Algebra Examples

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

Step 1

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

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

Step 2

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

$\sqrt{3} \cdot 3$

Step 3

Move $3$ to the left of $\sqrt{3}$ .

$3 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{3}$

Decimal Form:

$5.19615242 \dots$