Absolute Value of a Complex Number
Which of the following is
|5 – 6i|?

Answer:
[tex]\sqrt{61}[/tex]
Step-by-step explanation:
Given a complex number z = a + bi then the absolute value is
| z | = [tex]\sqrt{a^2+b^2}[/tex]
Given
| 5 - 6i | = [tex]\sqrt{5^2+(-6)^2}[/tex] = [tex]\sqrt{25+36}[/tex] = [tex]\sqrt{61}[/tex]