Problem

$3 \sqrt{3}+3 i$

Answer

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Answer

Final Answer: The final answer is \(\boxed{5.196152422706632+3i}\).

Steps

Step 1 ：The question is asking for the result of a complex number addition. The complex number is \(3 \sqrt{3}+3 i\).

Step 2 ：In mathematics, complex numbers are represented as (real + imagi), where real is the real part, imag is the imaginary part and i is the imaginary unit.

Step 3 ：So, we can directly calculate this.

Step 4 ：The complex number is \(5.196152422706632+3i\). The real part is \(3 \sqrt{3}\) and the imaginary part is 3.

Step 5 ：Final Answer: The final answer is \(\boxed{5.196152422706632+3i}\).

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