Add the complex numbers (3+i4) and (−5-i8).

Question

ScanSolve AI Tutor · Accepted Answer

Step 1: Identify the complex numbers to be added. The problem is to add (3+i4) and (−5−i8). Step 2: Group the real parts and the imaginary parts. When adding complex numbers, we add the real parts together and the imaginary parts together. The real parts are 3 and −5. The imaginary parts are i4 and −i8. Step 3: Add the real parts. 3 + (−5) = 3 − 5 = −2 Step 4: Add the imaginary parts. i4 + (−i8) = i4 − i8 = (4−8)i = −4i Step 5: Combine the results to form the final complex number. (3+i4) + (−5−i8) = (3−5) + (4−8)i = −2 − 4i The solution is: (3+i4) + (−5−i8) = −2 − 4i

Add the complex numbers (3+i4) and (-5-i8).

Answer

Step-by-step solution

Identify the complex numbers to be added.

Group the real parts and the imaginary parts.

Add the real parts.

Add the imaginary parts.

Combine the results to form the final complex number.

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