Algebra Examples

$(2 i - 3) + (8 + \sqrt{- 9})$

Step 1

Remove parentheses.

$2 i - 3 + 8 + \sqrt{- 9}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Rewrite $- 9$ as $- 1 (9)$ .

$2 i - 3 + 8 + \sqrt{- 1 (9)}$

Step 2.2

Rewrite $\sqrt{- 1 (9)}$ as $\sqrt{- 1} \cdot \sqrt{9}$ .

$2 i - 3 + 8 + \sqrt{- 1} \cdot \sqrt{9}$

Step 2.3

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

$2 i - 3 + 8 + i \cdot \sqrt{9}$

Step 2.4

Rewrite $9$ as $3^{2}$ .

$2 i - 3 + 8 + i \cdot \sqrt{3^{2}}$

Step 2.5

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

$2 i - 3 + 8 + i \cdot 3$

Step 2.6

Move $3$ to the left of $i$ .

$2 i - 3 + 8 + 3 i$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

Add $2 i$ and $3 i$ .

$- 3 + 8 + 5 i$

Step 3.2

Add $- 3$ and $8$ .

$5 + 5 i$