Question

How do you simplify `abs(0.2 + 0.8i)`?

Answer 1

`|0.2+0.8i|=sqrt(0.68)=0.82621...`

Explanation:

The modulus of a complex number `a+bi`, denoted `|a+bi|`, is `sqrt(a^2+b^2)`

Then, in this case,

`|0.2+0.8i|=sqrt(0.2^2+0.8^2)`

`=sqrt(0.04+0.64)`

`=sqrt(0.68)`

`=0.824621...`