Question

How do you rationalize the denominator and simplify `(6sqrt3)/sqrt14`?

Answer 1

`6(sqrt(3))/sqrt(14)=color(green)(3/7sqrt(42))`

Explanation:

Multiplying the numerator and denominator by `sqrt(14)`

`(6sqrt(3))/sqrt(14)xxsqrt(14)/sqrt(14) = (6sqrt(42))/14=(3sqrt(42))/7`

Note that since `42` contains no squared factors `sqrt(42)` can not be simplified.