Is this a rational number?please help!?

Question

√12/√3

how can u prove that this number is a rational number? i mean 3 is irrational whilst 12 is rational. And the answer will be 2, so how do we know it's rational?

If u know please answer, thanks!

Answer 1

yes! it is a ratinional number.  sqrt(12)/sqrt(3) = sqrt(12/3) = sqrt(4) = 2

Answer 2

Yes, It is 2

You can factor out Root 4 and root 3 in the numerator and cancel the root 3 top and bottom. you will then be left with root 4 which is 2

Which is rational

Answer 3

As Sqrt12/sqrt3 is the same as sqrt(12/3) and 12/3 is rational and qsrt4 = 2 then sqrt12/sqrt3 is rational

John B

Answer 4

yes sqrt(4*3)/sqrt(3)= 2sqrt(3)/sqrt(3)=2

Answer 5

√12/ √3 = √(12/3) = √4 = 2 or -2

Answer 6

it's rational because their quotient is a rational number...

its not based on wether 12 or 3 is rational or irrational...

it's based on the problem itself...