5-3i+(-2+-9)

Remove parentheses.

5-3i-2+-9

Rewrite -9 as -1(9).

5-3i-2+-1(9)

Rewrite -1(9) as -1⋅9.

5-3i-2+-1⋅9

Rewrite -1 as i.

5-3i-2+i⋅9

Rewrite 9 as 32.

5-3i-2+i⋅32

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

5-3i-2+i⋅3

Move 3 to the left of i.

5-3i-2+3i

5-3i-2+3i

Add -3i and 3i.

5+0-2

Add 5 and 0.

5-2

5-2

The result can be shown in multiple forms.

Exact Form:

5-2

Decimal Form:

0.23606797…

Simplify square root of 5-3i+(-2+ square root of -9)