Adding complex numbers

To add complex numbers, you simply add together the real parts and add together the imaginary parts separately.

Let z=a+bi and let w=c+di.
z+w=(a+c)+(b+d)i

Examples of adding complex numbers

Add the complex numbers 5+4i and 6-2i

• 5+6=11
• (4+-2)i=2i
• Answer: 11+2i

Add the complex numbers -3i-4 and 5+i

• -4+5=1
• (-3+1)i=-2i
• Answer: 1-2i