Question

How do you find `abs( -18/7 + sqrt5/7 i )`?

Answer 1

`|-18/7+sqrt5/7i|=sqrt(324/49+5/49)=sqrt(47/7)`

Explanation:

For general complex number `z=x+iy` in rectangular form, the modulus is given by `|z|=sqrt(x^2+y^2)`.

So in this particular case we get

`|-18/7+sqrt5/7i|=sqrt(324/49+5/49)=sqrt(47/7)`