Find the Roots (Zeros) square root of -0.25

$\sqrt{- 0.25}$

Step 1

Set $\sqrt{- 0.25}$ equal to $0$ .

$\sqrt{- 0.25} = 0$

Step 2

Solve for $x$ .

Simplify $\sqrt{- 0.25}$ .

Rewrite $- 0.25$ as $- 1 (0.25)$ .

$\sqrt{- 1 (0.25)} = 0$

Rewrite $\sqrt{- 1 (0.25)}$ as $\sqrt{- 1} \cdot \sqrt{0.25}$ .

$\sqrt{- 1} \cdot \sqrt{0.25} = 0$

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

$i \cdot \sqrt{0.25} = 0$

Rewrite $0.25$ as ${0.5}^{2}$ .

$i \cdot \sqrt{{0.5}^{2}} = 0$

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

$i \cdot 0.5 = 0$

Move $0.5$ to the left of $i$ .

$0.5 i = 0$

Since $0.5 i \neq 0$ , there are no solutions.

No solution