Write in Standard Form square root of -0.09

$\sqrt{- 0.09}$

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

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

Rewrite $- 0.09$ as $- 1 (0.09)$ .

$\sqrt{- 1 (0.09)}$

Rewrite $\sqrt{- 1 (0.09)}$ as $\sqrt{- 1} \cdot \sqrt{0.09}$ .

$\sqrt{- 1} \cdot \sqrt{0.09}$

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

$i \cdot \sqrt{0.09}$

Rewrite $0.09$ as ${0.3}^{2}$ .

$i \cdot \sqrt{{0.3}^{2}}$

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

$i \cdot 0.3$

Move $0.3$ to the left of $i$ .

$0.3 i$