Rational numbers are numbers that have an ending to them or repeat themselves, such as 0.675 or 0.[tex] \overline {66} [/tex]. Irrational numbers are numbers that have no ending and don't repeat themselves, such as pi.
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1) m = 2/3 = 0.[tex] \overline {66} [/tex], n = √9 = 3
so 1 cannot be a choice.
2) m = 6/5 = 1.2, n = √2 = 1.41421356237...
so 2 can be a choice.
3) m = 4[tex] \pi [/tex] = 12.5663706..., n = √5 = 2.2360679775...
so 3 cannot be a choice.
4) m = 6/2 = 3 (whole number, not rational), n = [tex] \pi /2 [/tex] = 1.57079633...
so 4 cannot be a choice.
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Answer:
[tex] \boxed {2)~ m = 6/5, ~n = \sqrt 2} [/tex]
