Evaluate square root of 25-9(2)^3

$\sqrt{25} - 9 {(2)}^{3}$

Simplify each term.

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}} - 9 {(2)}^{3}$

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

$5 - 9 {(2)}^{3}$

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

$5 - 9 \cdot 8$

Multiply $- 9$ by $8$ .

$5 - 72$

Subtract $72$ from $5$ .

$- 67$