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

5-3i+(-2+-9)
Remove parentheses.
5-3i-2+-9
Simplify each term.
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
5+0-2
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)