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lf x=(sqrt3)/2, then value of (sqrt(1+x)...

lf `x=(sqrt3)/2`, then value of `(sqrt(1+x))/(1+sqrt(1+x))+(sqrt(1-x))/(1-sqrt(1-x))` is?

A

1

B

2

C

`3/4`

D

`4/3`

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The correct Answer is:
A
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LUCENT PUBLICATION-INDICES AND SURDS -Exercise - 2A
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  3. If x= (sqrt3 - sqrt2)/(sqrt3+sqrt2) and y = (sqrt3+sqrt2)/(sqrt3-sqrt2...

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  8. Value of (3+sqrt6)/(5sqrt3-2sqrt12-sqrt32+sqrt50) is

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  9. If a= sqrt((sqrt5+1)/(sqrt5-1)) then sqrt(a^2-a-1) is equal to .

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  10. If x = (a + sqrt(a^(2) + b^(3)))^((1)/(3)) + (a-sqrt(a^(2) + b^(3)))^(...

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  11. Value of sqrt(139-80sqrt3) is

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  12. If (a+3)sqrt2 + 3 = b sqrt8 + a - 1 then value of a + b is

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  13. If x gt2 then what is the value of sqrt(x+2sqrt(x-1))+sqrt(x-2sqrtx-1...

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  14. If 1 lt x lt2 then what is the value of sqrt(x+2sqrt(x-1))+sqrt(x-2sqr...

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  15. lf x=(sqrt3)/2, then value of (sqrt(1+x))/(1+sqrt(1+x))+(sqrt(1-x))/(1...

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  16. If x/y = y/z = z/w then (x^m+y^m +z^m+w^m)/(x^(-m)+y^(-m )+z^(-m)+w^(...

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  17. Which of the following quantity is integer ?

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  18. What is the real value of (256)^(0.16)xx(16)^(0.18) ?

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  19. 2+sqrt2+1/(2+sqrt2)-1/(2-sqrt2) is equal to

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  20. If x = (2ab)/(b^2+1) then value of (sqrt(a+x)+sqrt(a-x))/(sqrt(a+x)-sq...

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