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Find the largest among root(4) (8), sqrt...

Find the largest among `root(4) (8), sqrt(2) , root(3) (6)`.

Text Solution

Verified by Experts

The correct Answer is:
`root(12) (1296) gt root(12)(512) gt root(12) (64)` or `root(3)(6) gt root(4)(6) gt root(4) (8) gt root()(2)`
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Knowledge Check

  • Which of the following is the largest number among sqrt2,root(3)(3),sqrt4,root(3)(5)

    A
    `sqrt2`
    B
    `root(3)(3)`
    C
    `sqrt4`
    D
    `root(5)(3)`

  • The greatest number among root(3)(2), sqrt(3) , root(3)(5) and 1.5 is :

    A
    `root(3)(2)`
    B
    `root(3)(5)`
    C
    `sqrt(3) `
    D
    `1.5`

  • The largest number among sqrt(2) , root3(3) , root4(4) is

    A
    `sqrt(2)`
    B
    `root3(3)`
    C
    root4(4)`
    D
    All are equal

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    Which of the following is the largest number among sqrt(2) , root3(3) , sqrt(4) and root3(5) ?

    The following are the steps involved in finding the greatest among root(3)(2),root(6)(3) and sqrt(6) . Arrange them in sequential order. (A) The LCM of the denominators of the exponents is 6. (B) therefore root(6)(216) i.e., sqrt(6) is greatest. (C) root(3)(2)=2^(1//3), root(6)(3)=3^(1//6), sqrt(6)=6^(1//2) (D) 2^(1//3)=2^(2//6), 3^(1//6), 6^(1//2)=6^(3//6) (E) root(3)(2)=root(6)(4)root(6)(3)-root(6)(3),sqrt(6)=root(6)(216)

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