Meno: You added -nal to the word ratio, just as we add -nal to the French word "jour" to create the word journal which means something that contains words of the "jour" or of today. So we now have a word which means a number made from a ratio. This is more than acceptable to me, Socrates. A sort of lesson in linguistics, perhaps, but certainly not in mathematics. No, I do not see that you have told him how to solve anything about the square root of two, but thank you for asking. I give you your journalistic license to do so.
Socrates: Good. Now boy, I need your attention. Please get up and stretch, if it will help you stay and think for awhile.
Boy: (stretches only a little) I am fine, Socrates.
Socrates: Now think carefully, boy, what kind of ratios can we make from even numbers and odd numbers?
Boy: We could make even numbers divided by odd numbers, and odd numbers divided by even numbers.
Socrates: Yes, we could. Could we make any other kind?
Boy: Well… we could make even numbers divided by even numbers, or odd numbers divided by odd.
Socrates: Very good. Any other kind?
Boy: I'm not sure, I can't think of any, but I might have to think a while to be sure.
Socrates: (to Meno) Are you still satisfied.