Yes.

Boy: So we define the rational numbers as numbers made from
the division into ratios of whole numbers, whether those whole
numbers are even or odd.

Socrates: Yes.

Boy: We get four groups, even over even, which we don't use,
odd over even, odd over odd, and even over odd.

Socrates: Continue.

Boy: We know the first number in the squared ratio cannot be odd
because it must be twice the value of the second number,
and therefore is must be an even number, two times a whole number.
Therefore it cannot be a member of either of the next groups,
because they both have whole numbers over odd numbers.

Socrates: Wonderful!

Boy: So we are left with one group, the evens over odds.

Socrates: Yes.

Boy: When we square an even over odd ratio, the first number
becomes even times even, which is two times two times some other
whole number, which means it is four times the whole number,
and this number must be double the second number, which is odd,
as it was made of odd times odd. But the top number cannot be double
some bottom odd number because the top number is four times some
whole number, and the bottom number is odd--but a number which is
four times another whole number, cannot be odd when cut in half,
so an even number times an even number can never be double what
you would get from any odd number times another odd number...
therefore none of these rational numbers, when multiplied times
themselves, could possibly yield a ratio in which the top number
was twice the bottom number. Amazing. We have proved that the
square root of two is not a rational number. Fantastic!

(He continues to wander up and down the stage, reciting various
portions of the proof to himself, looking up, then down, then all
around. He comes to Meno)

Boy: Do you see? It's so simple, so clear. This is really wonderful!
This is fantastic!

Socrates: (lays an arm on Meno's arm) Tell him how happy
you are for his new found thoughts, Meno, for you can easily tell
he is not thinking at all of his newly won freedom and wealth.

Meno: I quite agree with you, son, the clarity of your
reasoning is truly astounding. I will leave you here with
Socrates, as I go to prepare my household. I trust you will
both be happy for the rest of the day without my assistance.

[The party, the presentation of 10 years salary to the newly
freed young man, is another story, as is the original story
of the drawing in the sand the squ