Trigonometry Examples

$\sqrt[3]{375 x^{4}}$

Step 1

Rewrite $375 x^{4}$ as ${(5 x)}^{3} \cdot (3 x)$ .

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Step 1.1

Factor $125$ out of $375$ .

$\sqrt[3]{125 (3) x^{4}}$

Step 1.2

Rewrite $125$ as $5^{3}$ .

$\sqrt[3]{5^{3} \cdot 3 x^{4}}$

Step 1.3

Factor out $x^{3}$ .

$\sqrt[3]{5^{3} \cdot 3 (x^{3} x)}$

Step 1.4

Move $3$ .

$\sqrt[3]{5^{3} x^{3} \cdot 3 x}$

Step 1.5

Rewrite $5^{3} x^{3}$ as ${(5 x)}^{3}$ .

$\sqrt[3]{{(5 x)}^{3} \cdot 3 x}$

Step 1.6

Add parentheses.

$\sqrt[3]{{(5 x)}^{3} \cdot (3 x)}$

Step 2

Pull terms out from under the radical.

$5 x \sqrt[3]{3 x}$