Question

How do you find the absolute value of `-7-2i`?

Answer 1

`abs(-7-2i) = sqrt(53)`

Explanation:

The absolute value of a complex number is essentially its (Euclidean) distance from `0`, which we can find with the help of Pythagoras.

`abs(x+iy) = sqrt(x^2+y^2)`

So in our example:

`abs(-7-2i) = sqrt((-7)^2+(-2)^2) = sqrt(49+4) = sqrt(53)`