1.

`sqrt(3),root(3)(2),` and `root(3)(4)` इनमें से सबसे छोटी संख्या कौन सी है ?A. `sqrt(2)`B. `root(3)(2)`C. `sqrt(3)`D. `root(3)(4)`

Answer» Correct Answer - B
`sqrt(3), root(3)(2),sqrt(2),root(3)(4)`
`implies3^(1/2),2^(1/3),2^(1/2),4^(1/3)`
Take LCM of 3 & 2
`implies3^(3/6),2^(2/6),2^(3/6),4^(2/6)`
`impliesroot(6)(3^(3)),root(6)(2^(2)),root(6)(2^(3)),root(6)(4^(2))`
`impliesroot(6)(27), root(6)(4),root(6)(8),root(6)(18)impliesroot(3)(2)`


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