If z =√(2) - 2i, then |z| = _____. √(3) √(6) 3 6

Question

If z =
`√(2)` - 2i, then |z| = _____.


`√(3)`

`√(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).