Question

How can I prove that the square root of three is irrational??

Answer 1

Contradiction Assume \(\sqrt{3}\) to be rational

Answer 2

and then what, try and turn it into a ratio?

Answer 3

\[\sqrt{3} = \frac{p}{q}\]

Answer 4

enter the square root of 3 in a calculator and you will get a non terminating decimal, so it is irrational.

Answer 5

Hmm It's been a while since i have done this so I am not sure

hmm now p = k *q

Answer 6

what is k?

Answer 7

K is a number rational number

Answer 8

any number?

Answer 9

\[3 = \frac{p^2}{q^2}\] maybe

Answer 10

that is where I am

Answer 11

you divide the whole thing by q^2, then I hit a brick wall

Answer 12

hmm maybe google can help

Answer 13

\[3q^2 = p^2 \]
\[\text{ http://answers.yahoo.com/question/index?qid=20070313114325AAalFtN }\]

Answer 14

so k is the short hand for any any integer