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If a = (2 + sqrt3)/(2-sqrt3) and b = (2-...

If `a = (2 + sqrt3)/(2-sqrt3) and b = (2-sqrt3)/(2+sqrt3)` then the value of `(a^2+b^2+ab)` is

A

185

B

195

C

200

D

175

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If a=(2 + sqrt(3))/(2-sqrt(3)) and b = (2-sqrt(3))/(2+ sqrt(3)) , then the value of a^(2)+b^(2)+ab is :

    A
    A)195
    B
    B)185
    C
    C)196
    D
    D)186

  • If a = (sqrt3 + sqrt2) ^(-3) and b = ( sqrt3 - sqrt2)^(-3), then the value of (a + 1) ^(-1) + (b + 1) ^(-1) is :

    A
    `48 sqrt2`
    B
    `50 sqrt3`
    C
    `1`
    D
    `5`

  • If (2 + sqrt3) a = (2 - sqrt3) b =1 then the value of (1)/(a) + (1)/(b) is

    A
    1
    B
    2
    C
    `2sqrt3`
    D
    4

    • Similar Questions

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    If a=(sqrt3+ sqrt2)/(sqrt3- sqrt2) and b=(sqrt3- sqrt2)/(sqrt3+sqrt2) , then what is the value of a^2+b^2-ab ?

    If a = ( sqrt3 - sqrt2 )/( sqrt3 + sqrt2) and b = ( sqrt3 + sqrt2)/( sqrt3 - sqrt2), then the value of (a ^(2))/(b) + (b ^(2))/(a) is:

    If a (2 + sqrt(3)) = b ( 2 - sqrt( 3)) = 1 then the value of

    If a = (sqrt(3) + sqrt(2))^(-3) and b=(sqrt(3)- sqrt(2))^(-3) , then the value of (a+1)^(-1) +(b-1)^(-1) is:

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