Find the smallest numbers `root3(6),root6(24) and root4(8)`

root3(192)+root3(24)

Which one of the following is the smallest number? root(6)(12),root(3)(4),root(4)(5), sqrt3

Find out the greatest and least numbers: 2sqrt2, 3root(3)(2), 2root(4)(3), 2root(6)(7)

The following are the steps involved in finding the least amont sqrt(3),root(3)(4) and root(6)(15) . Arrange them in sequential order. (A) therefore root(6)(15) is the smallest (B) therefore 3^(1//2)=3^(3//6), 4^(1//3)=4^(2//6), 15^(1//6)=15^(1//6) (C)The LCM fo the denominators of the exponents is 6 (D) sqrt(3)=3^(1//2), root(3)(4)=4^(1//3), root(6)(15)=15^(1//6) (E) therefore sqrt(3)=root(6)(27), root(3)(4)=root(6)(16)root(6)(15)=root(6)(15)