Question

How do you rationalize the denominator `sqrt(5/6)`?

Answer 1

Multiply both numerator and denominator by `sqrt(6)` :

`sqrt(5/6) = sqrt(5)/sqrt(6) = sqrt(5)/sqrt(6)*sqrt(6)/sqrt(6)`

`= (sqrt(5)sqrt(6))/((sqrt(6))^2) = (sqrt(5*6))/6`

`=sqrt(30)/6`