Question

How do you simplify the expression `12/sqrt6`?

Answer 1

I got: `2sqrt(6)`

Explanation:

We can try writing a single square root:
`sqrt((12^2)/6)`
and write:
`sqrt(144/6)=sqrt(24)=sqrt(6*4)=sqrt(6)sqrt(4)=2sqrt(6)`

You get the same result rationalizing by wrkting:
`12/sqrt(6)*color(red)(sqrt(6)/sqrt(6))=(12sqrt(6))/6=2sqrt(6)`