Question

How do I know if it is rational or not?
http://i.imgur.com/OGtUJyY.png

Answer 1

\[2\sqrt{3}*\sqrt{12} = 2\sqrt{3*12} = 2\sqrt{36} = 2*6 = 12=\dfrac{12}{1}\]

Answer 2

It is a ratio of two integers, so it is rational.

Answer 3

So if it can be written as a ration, its rational?

Answer 4

Exactly!

Answer 5

Wat about \[2\sqrt{3}-2\sqrt{3}\]

Answer 6

What*

Answer 7

I think it's irrational because the outcome is 0 and 0 cannot be written as a ratio.

Answer 8

\[0 = \dfrac{0}{1}\]

every integer is rational