Basic Math Examples

$- \frac{{(\sqrt{3})}^{3}}{4}$

Step 1

Rewrite ${\sqrt{3}}^{3}$ as $\sqrt{3^{3}}$ .

$- \frac{\sqrt{3^{3}}}{4}$

Step 2

Raise $3$ to the power of $3$ .

$- \frac{\sqrt{27}}{4}$

Step 3

Rewrite $27$ as $3^{2} \cdot 3$ .

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Step 3.1

Factor $9$ out of $27$ .

$- \frac{\sqrt{9 (3)}}{4}$

Step 3.2

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

$- \frac{\sqrt{3^{2} \cdot 3}}{4}$

$- \frac{\sqrt{3^{2} \cdot 3}}{4}$

Step 4

Pull terms out from under the radical.

$- \frac{3 \sqrt{3}}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{3 \sqrt{3}}{4}$

Decimal Form:

$- 1.29903810 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$