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sqrt(2+sqrt3)*sqrt(2+sqrt(2+sqrt3))*sqrt...

`sqrt(2+sqrt3)*sqrt(2+sqrt(2+sqrt3))*sqrt(2+sqrt(2+sqrt(2+sqrt3)))` `*sqrt(2-sqrt(2+sqrt(2+sqrt3)))` is equal to a. 1 b. 2 c. 4 d. `sqrt6`

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Knowledge Check

  • sqrt2+ sqrt3+sqrt4+sqrt6 is equal to

    A
    `cot (7 (1)/(2))^(@)`
    B
    `si (7 (1)/(2))^(@)`
    C
    `sin 15^(@)`
    D
    `cos 15^(@)`

  • (sqrt3)/(sqrt3 + sqrt2) - (3sqrt3)/(sqrt5 +sqrt2) + (2sqrt2)/(sqrt5 + sqrt3) is equal to

    A
    0
    B
    `2sqrt15`
    C
    `2sqrt10`
    D
    `2sqrt6`

  • (sqrt(2) (2+sqrt(3)))/(sqrt(3) (sqrt(3)+1)) xx (sqrt(2)(2-sqrt(3)))/(sqrt(3)(sqrt(3)-1)) , is equal to:

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

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