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Which one of `root(3)(2), root(4)(3), root(6)(5)` and `root(12)(26)` is greatest?

A

`root(3)(2)`

B

`root(4)(3)`

C

`root(6)(5)`

D

`root(12)(26)`

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UNITED BOOK HOUSE-Quadratic Surds-Exercise
  1. If sqrt5 + sqrt3 = a, then sqrt5 - sqrt3 =

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  2. If x + 1/x = sqrt3 then the value of x^6 is

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  3. Which one of root(3)(2), root(4)(3), root(6)(5) and root(12)(26) is gr...

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  4. If 2r = h + sqrth^2 + r^2, then r : h = (r ne 0)

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

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

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  7. Which of the numbers below is a surd?

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  8. sqrt507 in simplest from is equal to

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  9. 12sqrt48 + sqrt343 - 3sqrt112 - 4sqrt75 is equal to

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  10. 2sqrt10 times sqrt3 times 2sqrt2 is equal to

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

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

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

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

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

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

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

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

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

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

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