Trigonometry Examples

$\sqrt[3]{\frac{8}{343}}$

Step 1

Rewrite $\sqrt[3]{\frac{8}{343}}$ as $\frac{\sqrt[3]{8}}{\sqrt[3]{343}}$ .

$\frac{\sqrt[3]{8}}{\sqrt[3]{343}}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $8$ as $2^{3}$ .

$\frac{\sqrt[3]{2^{3}}}{\sqrt[3]{343}}$

Step 2.2

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

$\frac{2}{\sqrt[3]{343}}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Rewrite $343$ as $7^{3}$ .

$\frac{2}{\sqrt[3]{7^{3}}}$

Step 3.2

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

$\frac{2}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{7}$

Decimal Form:

$0.\overline{285714}$