Radicals & complex numbers

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   Find the magnitude of the complex number $\sqrt{7}$ - i $\sqrt{2}$.

2. Warm-up

   Find the product of (2 + i $\sqrt{3}$) and its conjugate (2 - i $\sqrt{3}$).

3. Warm-up

   Compute $\sqrt{-2}$$\sqrt{-8}$ + $\sqrt{-18}$$\sqrt{-2}$.

Problems shown under their original terms: Generated (solver-verified).