Question

Is the simplified form of 2square root of 3 • 2square root of 6 rational?

Yes

No

Answer 1

@Mokeira , @Loser66

Answer 2

@Andras

Answer 3

@Firejay5 , @chlobohoe , @Directrix

Answer 4

Should be
\[2\sqrt{3}*2\sqrt{6} = [2*2]*\sqrt{3}\sqrt{6} = 4*\sqrt{3*6} = 4\sqrt{18}\]

Answer 5

So it is not rational?

Answer 6

root 18 can simplify a bit more, but you cant get rid of the root without making a decimal

Answer 7

\[4\sqrt{18}=4\sqrt{9*2}=4\sqrt{9}\sqrt{2}=4*3\sqrt{2}=12\sqrt{2}\]

Answer 8

Oh so it is rational right, since it can be simplified?

Answer 9

The most you can simplify it , is to
\[12\sqrt{2}\]

Is that a rational number?

Answer 10

I'm going to say yes.

Answer 11

Is that right??

Answer 12

http://www.mathsisfun.com/irrational-numbers.html

Answer 13

read through that page.. it tells ya some properties of rational/irrational numbers.,

Answer 14

Oh okay, it says that the square root of 2 is irrational

Answer 15

also here is more, it even has the square root of 2 as an example...
http://www.mathsisfun.com/numbers/irrational-finding.html

Answer 16

Okay so it is irrational right?

Answer 17

And thanks for the links, it helped!

Answer 18

yep, welcome