Evaluate 25-( square root of 16-1)*(3-9)^2

$25 - (\sqrt{16} - 1) \cdot {(3 - 9)}^{2}$

Step 1

Simplify each term.

Rewrite $16$ as $4^{2}$ .

$25 - (\sqrt{4^{2}} - 1) \cdot {(3 - 9)}^{2}$

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

$25 - (4 - 1) \cdot {(3 - 9)}^{2}$

Subtract $1$ from $4$ .

$25 - 1 \cdot 3 \cdot {(3 - 9)}^{2}$

Multiply $- 1$ by $3$ .

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

Subtract $9$ from $3$ .

$25 - 3 \cdot {(- 6)}^{2}$

Raise $- 6$ to the power of $2$ .

$25 - 3 \cdot 36$

Multiply $- 3$ by $36$ .

$25 - 108$

Step 2

Subtract $108$ from $25$ .

$- 83$