evaluate tan60degrees over cos45degrees

tan(60)/cos(45) = (sin(60)/cos(60))/cos(45)
= ((√3/2)/(1/2))/(√2/2) = (√3)/(√2/2) = (2√3)/(√2)
= ((2√3)(√2))/((√2)(√2)) = (2√6)/2 = √6

If any step doesn't makes sense, hmu!