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If x = sqrt(3) + sqrt(2) , then the va...

If ` x = sqrt(3) + sqrt(2) ` , then the value of ` ( x^(3) + (1)/( x^(3)))` is

A

` 6 sqrt(3)`

B

` 12 sqrt( 3)`

C

` 18 sqrt(3)`

D

` 24 sqrt( 3)`

Text Solution

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The correct Answer is:
C
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KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
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  2. If x + y = 7, then what is the value of x ^(3) + y ^(3) + 21 x y ?

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  3. If 4 b^(2) + (1)/( b^(2)) = 2 then the value of 8 b^(3) + (1)/( b^(...

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  4. If 2 p + (1)/( p) = 4 then value of p^(3) + (1)/(8 p ^(3)) is

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  5. If a^(4) + b^(4) = a^(2) b^(2) , then (a^(6) + b^(6)) equals

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  6. If x + (1)/( x) = sqrt(3) then the value of x^(18) + x ^(12) + x^(6...

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  7. If (a)/(b) + (b)/(a) =1, then the value of a ^(3) + b ^(3) is equal to

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  8. If a + (1)/(a) + 1 = 0 (a ne 0) then the value of (a^(4) - a) is

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  9. If x = a+(1)/( a) and y = a - (1)/(a) then value of x^(4) + y^(4)...

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  10. If for two real constants a and b the expression ax ^(3) + 3x^(2) -...

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  11. If x = 5 , y = 6 and z = - 11 , then the value of x^(3) + y^(3) + ...

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  12. If (1)/( x + y) = (1)/(x) + (1)/(y) ( x ne 0, y ne 0, x ne y) then t...

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  13. If x = a ( b - c) , y = b ( c - a) z = c ( a - b) then the value of...

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  14. If xy ( x + y) = 1 ,then the value of (1)/( x^(3) y^(3)) - x^(3) -...

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  15. If x + y = z then the expression x^(3) + y^(3) - z^(3) + 3xyz will ...

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  16. If a + (1)/(a) = sqrt(3) , then the value of a^(6) - (1)/(a^(6)) +...

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  17. If x^(3) + y^(3) = 35 and x + y = 5 then the value of (1)/( x) + (...

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  18. If ( a^(2) + b^(2))^(3) = (a^(3) + b^(3))^(2) then (a)/(b) + (b)/(a...

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  19. If a+ b + c = 0 then the value of (a^(3) + b^(3) + c^(3))is

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  20. If m^(4) + (1)/(m^(4)) = 119 then m - (1)/(m) = ?

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