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If x + y : sqrtxy = 4 : 1, then the rati...

If `x + y : sqrtxy = 4 : 1`, then the ratio x : y =

A

`(2 + sqrt3) : (2 - sqrt3)`

B

`(2 - sqrt3) : (2 + sqrt3)`

C

`sqrt3 : 1`

D

`(2 + sqrt5) : (2 - sqrt5)`.

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UNITED BOOK HOUSE-Quadratic Surds-Exercise
  1. If 2r = h + sqrth^2 + r^2, then r : h = (r ne 0)

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  2. x + y = (4)/(sqrt3) and x - y = (2)/(sqrt3), then the value of 4xy is

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  3. If x + y : sqrtxy = 4 : 1, then the ratio x : y =

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  4. Which of the numbers below is a surd?

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  5. sqrt507 in simplest from is equal to

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  6. 12sqrt48 + sqrt343 - 3sqrt112 - 4sqrt75 is equal to

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  7. 2sqrt10 times sqrt3 times 2sqrt2 is equal to

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

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

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

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

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

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

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

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

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

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

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

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

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

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