Algebra Examples

$\sqrt[3]{3} \cdot \sqrt[6]{4}$

Step 1

Rewrite $4$ as $2^{2}$ .

$\sqrt[3]{3} \cdot \sqrt[6]{2^{2}}$

Step 2

Rewrite $\sqrt[6]{2^{2}}$ as $\sqrt[3]{\sqrt{2^{2}}}$ .

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

Step 3

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

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

Step 4

Combine using the product rule for radicals.

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

Step 5

Multiply $3$ by $2$ .

$\sqrt[3]{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{6}$

Decimal Form:

$1.81712059 \dots$