`sqrt(2), root(3)(3),root(4)(4),root(6)(6)` इनमें से सबसे बड़ी संख्या कौन सी है?

Options

A. `sqrt(2)`
B. `root(3)(3)`
C. `root(4)(4)`
D. `root(6)(6)`

Answer

B

Explanation

`sqrt(2)=2^(1/2)to2^(6/12)to2^(6/12)toroot(12)(2^(6))toroot(12)(64)`
`impliesroot(3)(3)=3^(1/3)to3^(4/12)toroot(12)(3^(4))toroot(12)(81)`
`impliesroot(4)(4)=4^(1/4)to4^(3/12)toroot(12)(4^(3))toroot(12)(64)`
`implies root(6)(6)=6^(1/6)to6^(2/12)toroot(12)(6^(2))toroot(12)(36)`