Question

Prove sqrt(3) is irrational.

Answer 1

it doesnt have real roots.

Answer 2

how will u prove it, without using calculator

Answer 3

Also, there is an actual proof...

Answer 4

ye, and thats what

Answer 5

Okay, but I demand a fanship and a medal, because it's tedious to write.

Answer 6

lol nevermind :P

Answer 7

WELL FINE THEN. :P

Answer 8

you want an actual proof right?

Answer 9

as usual with such proofs start with assuming the contrary, that
\[\sqrt{3}=\frac{a}{b}\] with a, b integers.
the square and get
\[3=\frac{a^2}{b^2}\iff 3b^2=a^2\]

Answer 10

I was going to give him Euclid's Proof too, but he didn't want it....

Answer 11

now appeal to the fundamental theorem of arithmetic, and factor a and b as the product of primes.

Answer 12

oh then i will be quiet