Answer:
[tex]|5+13i|=\sqrt{194}[/tex]
Step-by-step explanation:
The given expression is [tex]|5+13i|[/tex].
This is a complex number expression.
The absolute value of the complex number means the magnitude of the complex number.
Recall that;
[tex]|a+bi|=\sqrt{a^2+b^2}[/tex]
This implies that:
[tex]|5+13i|=\sqrt{5^2+13^2}[/tex]
[tex]|5+13i|=\sqrt{25+169}[/tex]
[tex]|5+13i|=\sqrt{194}[/tex]
