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The value of sqrt(2 + sqrt(3))+ sqrt(2 -...

The value of `sqrt(2 + sqrt(3))+ sqrt(2 - sqrt(3))` is

A

6

B

`2 sqrt(2)`

C

`2 sqrt(3)`

D

`sqrt(6)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The value of (2 + sqrt(3))/(2- sqrt(3)) + (2- sqrt(3))/(2 + sqrt(3)) + ( sqrt(3) + 1)/(sqrt(3) -1) is

    A
    `16 + sqrt(3) `
    B
    `4 - sqrt(3)`
    C
    `2 - sqrt(3)`
    D
    `2 + sqrt(3)`
  • The value of 5sqrt(3) + 7sqrt(2) - sqrt(6) - 23/(sqrt(2) + sqrt(3) + sqrt(6)) is:

    A
    16
    B
    0
    C
    12
    D
    10
  • The value of (3sqrt(2))/(sqrt(3)+sqrt(6))-(4sqrt(3))/(sqrt(6)+sqrt(2))+(sqrt(6))/(sqrt(3)+sqrt(2)) is

    A
    `4`
    B
    `0`
    C
    `sqrt(2)`
    D
    `3sqrt(6)`
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