Question

Write in ascending order :  `2 root(3)(5)  and 3 root(3)(2)`

Answer 1

`2 root(3)(5) = root(3)(2^3 xx 5) = root(3)(40)`

`3 root(3)(2) = root(3)(3^3 xx 2) = root(3)(54)`

and 40 < 54 ⇒ `root(3)(40) < root(3)(54)`

⇒ `2 root(3)(5)  < 3 root(3)(2)`