if z=1+i , what is |z|

Question

Polar coordinates and complex roots and powers and equations

Answer 1

If z = a + bi, then l z l = magnitude of z = √(a² + b²).

So, if z = 1 + i, then l z l = √(1² + 1²) = √2

Note that z = a + bi can be thought of as the vector from (0,0) to (a,b). So, l z l = length of that vector.