How do you rationalize the denominator and simplify sqrt4/sqrt6?

1 Answer
Aug 31, 2016

(sqrt6)/3

Explanation:

We can start by first realizing that sqrt4 is really just 2. So that makes it 2/sqrt6.

We can take the next step by getting the square root out of the denominator.

(2/sqrt6)*(sqrt6/sqrt6) = (2sqrt6)/(sqrt6)^2.

The squared and square root cancel each other out, leaving just (2sqrt6)/6.

Then you can simplify the 2 in the numerator and 6 in the denominator to just get (1sqrt6)/3, but you would not write the 1, so (sqrt6)/3.