Simplify ( square root of 36-4)^3*5

${(\sqrt{36} - 4)}^{3} \cdot 5$

Step 1

Simplify each term.

Rewrite $36$ as $6^{2}$ .

${(\sqrt{6^{2}} - 4)}^{3} \cdot 5$

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

${(6 - 4)}^{3} \cdot 5$

Step 2

Simplify the expression.

Subtract $4$ from $6$ .

$2^{3} \cdot 5$

Raise $2$ to the power of $3$ .

$8 \cdot 5$

Multiply $8$ by $5$ .

$40$