Linear Algebra Examples

- 1 - \sqrt{- 3 i}

$- 1 - \sqrt{- 3 i}$

Step 1

Rewrite

$- 3 i$ as

$i^{2} \cdot (3 i)$ .

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Step 1.1

Rewrite

$- 3$ as

$- 1 (3)$ .

$- 1 - \sqrt{- 1 (3) i}$

Step 1.2

Rewrite

$- 1$ as

$i^{2}$ .

$- 1 - \sqrt{i^{2} \cdot 3 i}$

Step 1.3

Add parentheses.

$- 1 - \sqrt{i^{2} \cdot (3 i)}$

$- 1 - \sqrt{i^{2} \cdot (3 i)}$

Step 2

Pull terms out from under the radical.

$- 1 - i \sqrt{3 i}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$