By the way 4 √5 / 5 is the same as 4 / √5 becouse:
4 √5 / 5 = 4 √5 / √5 ∙ √5 = 4 / √5
Yes, you are correct! To simplify 4√6/√30 and rationalize the denominator, you correctly simplified the expression first by dividing 6 by 30 to get 1/5. Then, you rationalized the denominator by multiplying both the numerator and denominator by √5, resulting in 4√5/5. Well done!