Answer:
-5 +6i
Step-by-step explanation:
Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.
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<h3>simplify radicals</h3>
We know that √(-1) ≜ i. This means the radicals can be simplified to ...

So the expression becomes ...
(4 +9i) -(9 +3i)
<h3>combine terms</h3>
Like terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.
(4 +9i) -(9 +3i) = 4 +9i -9 -3i
= (4 -9) +(9 -3)i
= -5 +6i