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x = (sqrt3 + 1)/(sqrt3 - 1) and y = (sqr...

`x = (sqrt3 + 1)/(sqrt3 - 1)` and `y = (sqrt3 - 1)/(sqrt3 + 1)`. Then `(x^2 + xy + y^2)/(x^2 -xy + y^2)` is equal to :

A

15/13

B

13/15

C

1

D

None of these

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UNITED BOOK HOUSE-Quadratic Surds-Exercise
  1. Which of the numbers below is a surd?

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  2. sqrt507 in simplest from is equal to

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  3. 12sqrt48 + sqrt343 - 3sqrt112 - 4sqrt75 is equal to

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  4. 2sqrt10 times sqrt3 times 2sqrt2 is equal to

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  5. Rationalize denominator (1)/(1 - sqrt2 + sqrt3)

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  6. a and b are rational and sqrt48 - sqrt75 + sqrt16 =a + bsqrt3, then a,...

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  7. Find square root of x + y + z + 2 sqrt(yz) + 2sqrt(zx) + 2sqrt(xy)

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  8. Find the value of (x^3 - 7x^2 + 13x + 17) when x = 2 + sqrt3

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  9. Given x = 1 + sqrt2 + sqrt3, then find the value of (2x^4 - 8x^3 - 5x^...

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  10. Solve for x, when sqrt(2x^2 + 9) + sqrt(2x^2 - 9) = 9 + 3sqrt7

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  11. The value of sqrt(2 sqrt(3sqrt(2sqrt(3.......prop)))) is equal to

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  12. The value of sqrt2 + sqrt2 + sqrt2 + sqrt + ……… prop is equal to

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  13. Simplified value of sqrt-sqrt3 + sqrt3 + 8 sqrt7 + 4sqrt3 is

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  14. x = (sqrt3 + 1)/(sqrt3 - 1) and y = (sqrt3 - 1)/(sqrt3 + 1). Then (x^2...

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  15. The square root of (33 - 4sqrt35) is

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  16. The square root of root of 5 + sqrt6 - sqrt10 - sqrt15 is

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  17. If x(3sqrt5 + 2sqrt2) - sqrt2(sqrt10 - 1)y = sqrt10(2sqrt2 + sqrt5) th...

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  18. When x = (sqrt3)/(2), the value of ((1 + x)/(1 + sqrt1 + x) + (1- x)/(...

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  19. (3sqrt7)/(sqrt5 + sqrt2) - (5sqrt5)/(sqrt2 + sqrt7) + (2sqrt2)/(sqrt7 ...

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  20. The simplified value of ((sqrtax)/(sqrta + sqrtx - sqrta + x) - (sqrta...

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