Question
What is the value of \((2 - 3i) + (3 + 5i)\)
This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is
$5 + 2i$
Complex Number Addition: \((2 - 3i) + (3 + 5i)\)
To add two complex numbers, we add their real parts together and their imaginary parts together separately.
The given expression is:
\((2 - 3i) + (3 + 5i)\)
Group the real terms and the imaginary terms:
\((2 + 3) + (-3i + 5i)\)
Add the real parts:
\(2 + 3 = 5\)
Add the imaginary parts:
\(-3i + 5i = (-3 + 5)i = 2i\)
Combine the results to get the final complex number:
\(5 + 2i\)
Therefore, the value of \((2 - 3i) + (3 + 5i)\) is \(5 + 2i\).
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