Trigonometry Examples

$\sqrt[5]{96 y^{9} z^{5}}$

Step 1

Rewrite $96 y^{9} z^{5}$ as ${(2 y z)}^{5} \cdot (3 y^{4})$ .

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Step 1.1

Factor $32$ out of $96$ .

$\sqrt[5]{32 (3) y^{9} z^{5}}$

Step 1.2

Rewrite $32$ as $2^{5}$ .

$\sqrt[5]{2^{5} \cdot 3 y^{9} z^{5}}$

Step 1.3

Factor out $y^{5}$ .

$\sqrt[5]{2^{5} \cdot 3 (y^{5} y^{4}) z^{5}}$

Step 1.4

Move $y^{4}$ .

$\sqrt[5]{2^{5} \cdot 3 (y^{5}) z^{5} y^{4}}$

Step 1.5

Move $3$ .

$\sqrt[5]{(2^{5} (y^{5})) z^{5} \cdot 3 y^{4}}$

Step 1.6

Rewrite $(2^{5} (y^{5})) z^{5}$ as ${(2 y z)}^{5}$ .

$\sqrt[5]{{(2 y z)}^{5} \cdot 3 y^{4}}$

Step 1.7

Add parentheses.

$\sqrt[5]{{(2 y z)}^{5} \cdot (3 y^{4})}$

Step 2

Pull terms out from under the radical.

$2 y z \sqrt[5]{3 y^{4}}$