Question

If a and b are two complex number then
| a+b | = | a | + | b | is true or not...? Explain also..

Answer 1

| a+b | = | a | + | b |

Squaring both sides

=>|a^2+2ab+b^2|=|a|^2+2|a||b|+|b|^2

=>|a^2+2ab+b^2|=|a^2+2ab+b^2|

So it is true.