Evaluate square root of 12- square root of 144

$\sqrt{12 - \sqrt{144}}$

Step 1

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

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

Step 2

Multiply.

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

$\sqrt{12 - 1 \cdot 12}$

Multiply $- 1$ by $12$ .

$\sqrt{12 - 12}$

Step 3

Subtract $12$ from $12$ .

$\sqrt{0}$

Step 4

Rewrite $0$ as $0^{2}$ .

$\sqrt{0^{2}}$

Step 5

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

$0$