Irrational and Rational Numbers Help.

Question

lena772 · Answer

attachment

hartnn · Answer

you know what rational is ?
is sqrt 3 rational ?

lena772 · Answer

Rational means it can have a whole number ratio?

lena772 · Answer

I don't think sqrt 3 is rational.

hartnn · Answer

correct
sqrt 3 is irrational 
so, what about the 1st one ?

lena772 · Answer

Irrational

lena772 · Answer

Right?

hartnn · Answer

correct :)

lena772 · Answer

:)

hartnn · Answer

simplify the 2nd one ?

lena772 · Answer

I think the second one would be irrational too...

hartnn · Answer

yes, i'd be glad if you tell me correct reason for it

lena772 · Answer

Because if you simplify it you take away the 2 from both equations. You're left with Sqrt 3 and sqrt 6 which both lead to irrational numbers

lena772 · Answer

I think

hartnn · Answer

so you say that sqrt times sqrt 3 is irrational ??? because both sqrt 3 are irrationals ?

hartnn · Answer

***sqrt 3 times sqrt 3

lena772 · Answer

Yes

hartnn · Answer

but sqrt 3 times sqrt 3 = just 3 ! 
which is rational

lena772 · Answer

But sqrt 6 * sqrt 3 is irrational

lena772 · Answer

it equals 4.242540687

hartnn · Answer

yes, i was just saying the reason you gave was incorrect...

lena772 · Answer

Oh sorry, what's the reason then?

hartnn · Answer

$\sqrt 3 \sqrt 6 = \sqrt {18} = \sqrt 9 \sqrt 2 = 3\sqrt 2$
since sqrt 2 is irrational, the whole thing becomes irrational
makes sense ?

lena772 · Answer

Yes

lena772 · Answer

Thanks for the help I really appreciate it. :)

hartnn · Answer

its not because the product of 2 irrationals = irrational because that is not always true.
and welcome ^_^