Question

If z =$\sqrt{2}$ - 2i, then |z| = _____.

$\sqrt{3}$
$\sqrt{6}$
3
6

Answer 1

This requires an approach much like the distance formula.

The abs. val. of z here is a positive quantity equal to:

|z| = sqrt(  [sqrt(2)]^2 + [2]^2 ) = sqrt ( 2 + 4 ) = sqrt^6).