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If x = (sqrt(3) + sqrt(2))/(sqrt(3) - sq...

If x = `(sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))`, find the value of `x^(2) + (1)/(x^(2))`.

A

38

B

98

C

62

D

47

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-SURDS AND INDICES-MULTIPLE CHOICE QUESTIONS
  1. If 32^(x- 2) = 64 + 8^x, the value of x is

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  2. If a = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) and b = (sqrt(3) - sqr...

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  3. If x = 2 + sqrt(3) and y = 2 - sqrt(3), find the value of x^(-2) + y^(...

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  4. If x = 2 + sqrt(3) and y = 2 - sqrt(3), find the value of x^(-3) + y^(...

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  5. If x=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)), y=(sqrt(5)+sqrt(3))/(sqrt(5)...

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  6. If x = (sqrt(3) + 1)/(sqrt(3) -1) and y = (sqrt(3) -1)/(sqrt(3) + 1), ...

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  7. If a = (1)/(2 - sqrt(3)) , b = (1)/(2 + sqrt(3)), find the value of ((...

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  8. If x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)), find the value of x^(2...

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  9. If x = (sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)), find the value of x^(3...

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  10. If x = 7 + 4 sqrt(3), y = 7 - 4 sqrt(3), find the value of (1)/(x^(2))...

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  11. If x = 3 + sqrt(8) , y = 3 - sqrt(8), find the value of x^(-3) + y^(-3...

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  12. If x = 3 + sqrt(8) find the value of x^(4) + (1)/(x^(4))

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  13. If x = 3 + 2 sqrt(2), find the value fo sqrt(2) (x^(2) - x^(-2)).

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  14. If sqrt(x)+sqrt(y)=sqrt(18+6sqrt(5)), find the value of x.

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  15. if a = 7- 4sqrt3, find the value of sqrta +1/sqrta

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  16. Find x if (sqrt(3x +1) + sqrt(3x - 6))/(sqrt(3x + 1) - sqrt(3x - 6)) =...

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  17. Find x if (sqrt(5x) + sqrt(3x + 1))/(sqrt(5x) -sqrt(3x + 1)) = 9 .

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  18. If a/(b+c)=b/(c+a)=c/(a+b) then each fraction is equal to

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  19. If (a)/(b + c - a) = (b)/(c + a - b) = (c)/(a + b -c ), then each rati...

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  20. If (x)/(b + c - a) = (y)/(c + a - b) = (z)/(a + b - c) , then value of...

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