Finite Math Examples

$\sqrt[3]{75 x^{3}} + 4 x \sqrt{27 x}$

Step 1

Reorder $75$ and $x^{3}$ .

$\sqrt[3]{x^{3} \cdot 75} + 4 x \sqrt{27 x}$

Step 2

Pull terms out from under the radical.

$x \sqrt[3]{75} + 4 x \sqrt{27 x}$

Step 3

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

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Step 3.1

Factor $9$ out of $27$ .

$x \sqrt[3]{75} + 4 x \sqrt{9 (3) x}$

Step 3.2

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

$x \sqrt[3]{75} + 4 x \sqrt{3^{2} \cdot 3 x}$

Step 3.3

Add parentheses.

$x \sqrt[3]{75} + 4 x \sqrt{3^{2} \cdot (3 x)}$

$x \sqrt[3]{75} + 4 x \sqrt{3^{2} \cdot (3 x)}$

Step 4

Pull terms out from under the radical.

$x \sqrt[3]{75} + 4 x (3 \sqrt{3 x})$

Step 5

Multiply $3$ by $4$ .

$x \sqrt[3]{75} + 12 x \sqrt{3 x}$

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