Question

How do you find `abs( 7+9i )`?

Answer 1

`|7+9i| = sqrt(130)`

Explanation:

Given a complex number `a+bi`, the modulus of that number, denoted `|a+bi|`, is the distance from that number to the origin on the complex plane. Then, we have

`|a+bi| = sqrt(a^2+b^2)`.

In this case, that gives us

`|7+9i| = sqrt(7^2+9^2) = sqrt(130)`