इनमें से सबसे बड़ा कौन सा है ?
`root(3)(4), root(4)(6),root(6)(15)` and `root(12)(245)`

Options

A. `root(3)(4)`
B. `root(4)(6)`
C. `root(6)(15)`
D. `root(12)(245)`

Answer

A

Explanation

`root(3)(4),root(4)(6),root(6)(15),root(12)(245)`
`implies4^(1/3),6^(1/4),15^(1/6),245^(1/12)`
Take LCM of 3,4,12 & 6
`implies4^(4/12),6^(3/12),15^(2/12),245^(1/12)`
`implies root(12)(4^(4)),root(12)(6^(3)),root(12)(15^(2)),root(12)(245)`
`impliesroot(12)(256), root(12)(216), root(12)(225), root(12)(245)`
`implies` Bggest `=root(3)(4)`