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Simplify : (root6(27)-sqrt(6(3)/4))^(2)...

Simplify : `(root6(27)-sqrt(6(3)/4))^(2)`

A

`3/4`

B

`sqrt3/2`

C

`root3(3)/4`

D

`3/2`

Text Solution

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The correct Answer is:
a
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Knowledge Check

  • The value of (root(6)(27)-sqrt(6(3)/(4)))^(2) equals

    A
    `(sqrt(3))/(2)`
    B
    `(3)/(2)`
    C
    `(sqrt(3))/(4)`
    D
    `(3)/(4)`

  • Simplify : (3sqrt(2))/(sqrt(6)-sqrt(3))-(4sqrt(3))/(sqrt(6)-sqrt(2))+(2sqrt(3))/(sqrt(6)+2)

    A
    `sqrt(2)`
    B
    `sqrt(3)`
    C
    `1`
    D
    `0`

  • Simplify : [root(3)root(6)(5^(9))]^(4)[root(3)root(6)(5^(9)]]^(4)

    A
    `5^(2)`
    B
    `5^(4)`
    C
    `5^(8)`
    D
    `5^(12)`

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