Question

Absolute Value of a Complex Number

Which of the following is
|5 – 6i|?

Answer 1

`√(61)`

Explanation:

Given a complex number z = a + bi then the absolute value is

| z | =
`√(a^2+b^2)`

Given

| 5 - 6i | =
`√(5^2+(-6)^2)` =
`√(25+36)` =
`√(61)`