Question

How do you rationalize the denominator and simplify `sqrt(14/3)`?

Answer 1

`sqrt(14/3)=sqrt(42)/3`

Explanation:

`sqrt(14/3) = sqrt(14)/sqrt(3)`

`color(white)("XXX")=sqrt(14)/sqrt(3) xx sqrt(3)/(sqrt(3)`

`color(white)("XXX")=sqrt(14 xx 3)/3`

`color(white)("XXX")=sqrt(42)/3`

(note: `42` has no square integer factors and can not be simplified any further)