Answer:
m = [tex]\frac{6}{5}[/tex], n = [tex]\sqrt{2}[/tex]
Step-by-step explanation:
m has to be a rational number but it can't be an integer.
[tex]\frac{2}{3}[/tex] is rational and it is not an integer, [tex]\frac{6}{5}[/tex] is rational and it is not an integer, 4π is not rational, and [tex]\frac{6}{2}[/tex] is rational but it is an integer because it's equal to 3.
m must equal [tex]\frac{2}{3}[/tex] or [tex]\frac{6}{5}[/tex].
n has to be irrational.
[tex]\sqrt{9}[/tex] is not irrational because it is equal to 3, which is rational.
This leaves m = [tex]\sqrt{2}[/tex].
