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Fill in the blanks : (a) The triplica...

Fill in the blanks :
(a) The triplicate ratio of `2^(1/3) : 3^(1/3) ` is ________
(b) The sub - triplicate ratio of ` 8 : 27` is ____________

Text Solution

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(a) ` 2 : 3`, since the triplicate ratio of `(2^(1/3))^(3) : (3^(1/3))^(3) = 2 : 3`
(b) ` 2 : 3` since the sub-triplicate ratio of ` 8 : 27` is
`root(3)(27) , root(3)(27) = root(3)(3^(3)) = 2 : 3`
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Knowledge Check

  • The triplicate ratio of the ratio x^(1/3)y^(1/3): y^(1/3) z^(1/3) is

    A
    ` x : z `
    B
    ` x : y`
    C
    ` y : z `
    D
    ` z : x `

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    B
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    C
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    D
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  • The sub-triplicate ratio of the ratio (7 + 5 sqrt2) : (7 - 5 sqrt2) is

    A
    `-(3 - 2 sqrt2) : 1`
    B
    `(3 + 2 sqrt2) : 1 `
    C
    `-(3 + 2 sqrt2) : 1`
    D
    None of these.

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