Write in Standard Form 5- square root of -12

$5 - \sqrt{- 12}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

Rewrite $- 12$ as $- 1 (12)$ .

$5 - \sqrt{- 1 (12)}$

Rewrite $\sqrt{- 1 (12)}$ as $\sqrt{- 1} \cdot \sqrt{12}$ .

$5 - (\sqrt{- 1} \cdot \sqrt{12})$

Rewrite $\sqrt{- 1}$ as $i$ .

$5 - (i \cdot \sqrt{12})$

Rewrite $12$ as $2^{2} \cdot 3$ .

Factor $4$ out of $12$ .

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

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

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

Pull terms out from under the radical.

$5 - (i \cdot (2 \sqrt{3}))$

Move $2$ to the left of $i$ .

$5 - (2 \cdot i \sqrt{3})$

Multiply $2$ by $- 1$ .

$5 - 2 i \sqrt{3}$