Is $ n \sum \rho_i^2 \geq (\sum \rho_i)^2$?

Question

Say I have a real-valued vector $\rho$ of length $n$. Is the following inequality always true?

$n \sum \rho_i^2 \geq (\sum \rho_i)^2$

I originally thought this was a trivial triangle inequality like property, but I am having an embarrassingly hard time proving it.