Trigonometry Examples

$\sqrt[3]{\frac{16 \cdot 52.83}{314 \cdot 55}}$

Step 1

Reduce the expression $\frac{16 \cdot 52.83}{314 \cdot 55}$ by cancelling the common factors.

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Step 1.1

Factor $2$ out of $16 \cdot 52.83$ .

$\sqrt[3]{\frac{2 (8 \cdot 52.83)}{314 \cdot 55}}$

Step 1.2

Factor $2$ out of $314 \cdot 55$ .

$\sqrt[3]{\frac{2 (8 \cdot 52.83)}{2 (157 \cdot 55)}}$

Step 1.3

Cancel the common factor.

$\sqrt[3]{\frac{2 (8 \cdot 52.83)}{2 (157 \cdot 55)}}$

Step 1.4

Rewrite the expression.

$\sqrt[3]{\frac{8 \cdot 52.83}{157 \cdot 55}}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $8$ by $52.83$ .

$\sqrt[3]{\frac{422.64}{157 \cdot 55}}$

Step 2.2

Multiply $157$ by $55$ .

$\sqrt[3]{\frac{422.64}{8635}}$

Step 2.3

Divide $422.64$ by $8635$ .

$\sqrt[3]{0.04894499}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{0.04894499}$

Decimal Form:

$0.36579358 \dots$