Problem

Add and simplify. \[ (8+8 i)+(4-7 i) \]

Solution

Step 1 :We are given two complex numbers, \(8+8i\) and \(4-7i\).

Step 2 :To add these two complex numbers, we add the real parts together and the imaginary parts together separately.

Step 3 :The real parts are 8 and 4, and the imaginary parts are 8i and -7i.

Step 4 :Adding the real parts, 8 and 4, gives us 12.

Step 5 :Adding the imaginary parts, 8i and -7i, gives us i.

Step 6 :So, the sum of the two complex numbers is \(12 + i\).

Step 7 :Final Answer: The sum of the two complex numbers is \(\boxed{12 + i}\).

From Solvely APP
Source: https://solvelyapp.com/problems/46085/

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