Trigonometry Examples

$\sqrt[3]{40 a^{4}}$

Step 1

Rewrite $40 a^{4}$ as ${(2 a)}^{3} \cdot (5 a)$ .

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Step 1.1

Factor $8$ out of $40$ .

$\sqrt[3]{8 (5) a^{4}}$

Step 1.2

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

$\sqrt[3]{2^{3} \cdot 5 a^{4}}$

Step 1.3

Factor out $a^{3}$ .

$\sqrt[3]{2^{3} \cdot 5 (a^{3} a)}$

Step 1.4

Move $5$ .

$\sqrt[3]{2^{3} a^{3} \cdot 5 a}$

Step 1.5

Rewrite $2^{3} a^{3}$ as ${(2 a)}^{3}$ .

$\sqrt[3]{{(2 a)}^{3} \cdot 5 a}$

Step 1.6

Add parentheses.

$\sqrt[3]{{(2 a)}^{3} \cdot (5 a)}$

$\sqrt[3]{{(2 a)}^{3} \cdot (5 a)}$

Step 2

Pull terms out from under the radical.

$2 a \sqrt[3]{5 a}$

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