# Thread: Working with complex numbers

1. ## Working with complex numbers

If $\displaystyle z_1, z_2, ... z_n$ are complex, prove that $\displaystyle \mid z_1 + z_2 + ... + z_n \mid \leq \mid z_1 \mid + \mid z_2 \mid + ... + \mid z_n \mid$.

2. This looks to be $\displaystyle n$ applications of the Triangle Inequality..