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Q: If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true  ?

  • 1
    x > y < z
  • 2
    x < y < z
  • 3
    x > y > z
  • 4
    z < x < y
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Answer : 4. "z < x < y"
Explanation :

Answer: D) z < x < y Explanation: x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3) As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5) As (√10 + 3) > (√8 + √7) > (√6 + √5) z < x < y.

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