Simplify 4*sqrt6/sqrt30 by rationalizing the denominator.

Question

4√6/√30
4√(6/30)
4√(1/5)
4/√5
4√5/5
Am I right?

Answer 1

4 ∙ √6 / √ 30 =

4 ∙ √6 / √ ( 6 ∙ 5 ) =

4 ∙ √6 / √6 ∙ √5 =

4 / √5

By the way 4 √5 / 5 is the same as 4 / √5 becouse:

4 √5 / 5 = 4 √5 / √5 ∙ √5 = 4 / √5