Evaluate cube root of 27x-81-5

$\sqrt[3]{27 x - 81} - 5$

Step 1

Factor $27$ out of $27 x - 81$ .

Factor $27$ out of $27 x$ .

$\sqrt[3]{27 (x) - 81} - 5$

Factor $27$ out of $- 81$ .

$\sqrt[3]{27 x + 27 \cdot - 3} - 5$

Factor $27$ out of $27 x + 27 \cdot - 3$ .

$\sqrt[3]{27 (x - 3)} - 5$

$\sqrt[3]{27 (x - 3)} - 5$

Step 2

Rewrite $27$ as $3^{3}$ .

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

Step 3

Pull terms out from under the radical.

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

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