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If a = 2 + sqrt3, then the value of (a ^...

If `a = 2 + sqrt3,` then the value of `(a ^(6) + a ^(4) + a ^(2) + 1)/(a ^(3))` is

A

45

B

65

C

42

D

56

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The correct Answer is:
D
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KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
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  2. If average of two numbers, x and (1)/(x) (where x ne 0 ) is A ,wha...

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  3. If a = 2 + sqrt3, then the value of (a ^(6) + a ^(4) + a ^(2) + 1)/(a ...

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  4. If x = sqrt(5) + sqrt(3) and y = sqrt( 5) - sqrt(3) , then value of ...

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  5. If x + y + z = 6 then the value of ( x - 1) ^(3) + ( y - 2) ^(3) + ...

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  6. If p^(4) = 119 - (1)/( p^(4)) then the value of p^(3) - (1)/( p^(3))...

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  7. If m + ((1)/( m)) = 2 then the value of m^(3) - 3 m^(3) + 3 m + 3 n...

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  8. If m=- 4 , n=-2 then the value of m^3 - 3m + 3m + 3n + 3n^2 + n...

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  9. Given that x^(3) + y^(3) = 72 and xy = 8 with x gt y . Then th...

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  10. If x = 2 then the value of x^(3) + 27 x^(2) + 243 x + 631 is

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  11. If ( x^(24) + 1)/( x^(12)) = 7 then the value of ( x^(72) + 1)/( x^...

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  12. The HCF of x^(8) - 1 and x^(4) + 2 x ^(3) - 2 x - 1 is

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  13. If x^(2) + y^(2) + z^(2) = 2 ( x + z -1 ) then the value of : x ^(...

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  14. If x^(2) + x = 5 then the value of ( x + 3) ^(3) + (1)/( ( x + 3) ...

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  15. If 4 a - (4)/( a) = 3 then the value of : a^(3) - (1)/( a^(3) ) +...

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  16. If a + b - c = 0 then the value of 2b^(2) c^(2) + 2 c ^(2) a^(2) + ...

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  17. If (p^2)/(q^2) + (q^2)/(p^2) =1, then the value of (p^6 +q^6) is

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  18. If ( m + 1) = sqrt( n) + 3 the value of (1)/(2) (( m^(3) - 6 m^(2) ...

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  19. If ( 3 x - 2y) : ( 2x + 3y) = 5 : 6 then one of the value of ((3 sq...

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  20. If ((p^-1 q^2)/(p^3 q^-2))^(1/3) div ((p^6 q^-3)/(p^-2 q^3))^(1/3) =p...

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