ANSWER
[tex] \sqrt{13} = 3.606[/tex]
to the nearest thousandth.
EXPLANATION
The given irrational number is
[tex] \sqrt{13} [/tex]
We use the calculator to evaluate this to obtain,
[tex] \sqrt{13} = 3.605551...[/tex]
To round to the nearest thousandth means we are rounding to 3 decimal places.
The third decimal place is 5.
The next number is 5 so we round up.
[tex] \sqrt{13} = 3.606[/tex]
