Evaluate 28-( square root of 144)^2

$28 - {(\sqrt{144})}^{2}$

Step 1

Simplify each term.

Rewrite $144$ as $12^{2}$ .

$28 - {\sqrt{12^{2}}}^{2}$

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

$28 - 12^{2}$

Raise $12$ to the power of $2$ .

$28 - 1 \cdot 144$

Multiply $- 1$ by $144$ .

$28 - 144$

Step 2

Subtract $144$ from $28$ .

$- 116$