Which one of the following is correct? The real number `root3(2+sqrt(5))+root3(2-sqrt(5))` is :

Which one of the following is the least? sqrt(3),root(3)(2),sqrt(2) and root(3)(4)

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

The value of log_(2)(root(3)(2+sqrt(5))+root(3)(2-sqrt(5))) is equal to

Which one of the following are irrational numbers ? (i) sqrt(2+sqrt3) , (ii) sqrt(4+sqrt25) , (iii) root3(5+sqrt7) , (iv) sqrt(8-root3(8))