Algebra Examples

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

Step 1

Combine using the product rule for radicals.

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

Step 2

Write the expression using exponents.

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Step 2.1

Multiply $3$ by $3$ .

$\sqrt[6]{9}$

Step 2.2

Rewrite $9$ as $3^{2}$ .

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

Step 3

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

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

Step 4

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

$\sqrt[3]{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{3}$

Decimal Form:

$1.44224957 \dots$