`sqrt(root(a)(b))`

(sqrt(2root(3)(3))*root(3)(3sqrt(2)))/(3sqrt(2sqrt(3))*sqrt(3root(3)(2)))

If a gt 1 , then arrange the following in ascending order. I. root3(root4(a^3)) II. root3(root5(a^4)) III. sqrt(root3(a)) IV. sqrt(root5(a^3))

The greatest of sqrt(2),root(6)(3),root(3)(4),root(4)(5) is a.sqrt(2)b .root(3)(4)c.root(4)(5)d.root(6)(3)

If agt0,bgt0,cgt0, then the minimum value of sqrt((4a)/(b))+root(3)((27b)/(c))+root(4)((c)/(108a)), is

sqrt(2 root(3)(4 sqrt(2 root (3)(4 sqrt(2 root (3)(4...)))))) =?

Find the value of sqrt(2root(3)(4sqrt(2root(3)(4sqrt(2root(3)(4....)))))) .

The value of sqrt(root(3)(13824)+sqrt(5776)) is