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If a=(sqrt(3))/2 , then sqrt(1+a)+sqrt(1...

If `a=(sqrt(3))/2` , then `sqrt(1+a)+sqrt(1-a)=?` `(2-sqrt(3))` (b) `(2+sqrt(3))` (c) `((sqrt(3))/2)` (d) `sqrt(3)`

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(sqrt(3)-sqrt(2))(1)/(sqrt(3))

sqrt((4)/(3))-sqrt((3)/(4))=?(4sqrt(3))/(6) (b) (1)/(2sqrt(3))(c)1(d)-(1)/(2sqrt(3))

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 (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3-1)) is

    A
    a) `16+sqrt(3)`
    B
    b) `4-sqrt(3)`
    C
    c) `2-sqrt(3)`
    D
    d) `2+sqrt(3)`

  • If sqrt(2) = 1.414, sqrt(3) = 1.732, sqrt(5) = 2.236 and sqrt(6) = 2.449 , find the value of (2+sqrt(3))/(2-sqrt(3)) +(2-sqrt(3))/(2+sqrt(3)) +(sqrt(3) -1)/(sqrt(3) +1)

    A
    `13.298`
    B
    `14.268`
    C
    `16.258`
    D
    `12.268`

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    The rationalisation factor of sqrt(3) is -sqrt(3) (b) (1)/(sqrt(3))(c)2sqrt(3)(d)-2sqrt(3)

    (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3)-1)is

    By how much does sqrt(12)+sqrt(18) exceed sqrt(3)+sqrt(2)?sqrt(2)-4sqrt(3)(b)sqrt(3)+2sqrt(2)(c)2(sqrt(3)-sqrt(2))(d)3(sqrt(3)-sqrt(2))

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