Simplify 9 square root of 4+12 cube root of 8-6 fifth root of 32

$9 \sqrt{4} + 12 \sqrt[3]{8} - 6 \sqrt[5]{32}$

Simplify each term.

Rewrite $4$ as $2^{2}$ .

$9 \sqrt{2^{2}} + 12 \sqrt[3]{8} - 6 \sqrt[5]{32}$

Pull terms out from under the radical, assuming positive real numbers.

$9 \cdot 2 + 12 \sqrt[3]{8} - 6 \sqrt[5]{32}$

Multiply $9$ by $2$ .

$18 + 12 \sqrt[3]{8} - 6 \sqrt[5]{32}$

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

$18 + 12 \sqrt[3]{2^{3}} - 6 \sqrt[5]{32}$

Pull terms out from under the radical, assuming real numbers.

$18 + 12 \cdot 2 - 6 \sqrt[5]{32}$

Multiply $12$ by $2$ .

$18 + 24 - 6 \sqrt[5]{32}$

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

$18 + 24 - 6 \sqrt[5]{2^{5}}$

Pull terms out from under the radical, assuming real numbers.

$18 + 24 - 6 \cdot 2$

Multiply $- 6$ by $2$ .

$18 + 24 - 12$

Simplify by adding and subtracting.

Add $18$ and $24$ .

$42 - 12$

Subtract $12$ from $42$ .

$30$