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If (a+(1)/(a))^(2)=9, then a^(3)+(1)/(a^...

If `(a+(1)/(a))^(2)=9`, then `a^(3)+(1)/(a^(3))` equals

A

`(10sqrt(3))/(3)`

B

`3sqrt(3)`

C

`18`

D

`7sqrt(7)`

Text Solution

Verified by Experts

The correct Answer is:
C
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MTG IIT JEE FOUNDATION-NUMBER SYSTEMS-EXERCISE (Multiple choice Question(Level-1))
  1. The rational number between 1//2 and 1//3 is

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  2. Simplify: (2^(n+4)-2(2^(n)))/(2(2^(n+3)))

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  3. If (a+(1)/(a))^(2)=9, then a^(3)+(1)/(a^(3)) equals

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  4. If both 'a' and 'b' are rational numbers, then 'a' and 'b' from (3-sqr...

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  5. (2sqrt(6))/(sqrt(2)+sqrt(3)+sqrt(5)) equals

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  6. If 25^(x-1)=5^(2x-1)-100, then find the value of x.

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  7. If x=2-sqrt(3), then the values of x^(2)+(1)/(x^(2)) and x^(2)-(1)/(x^...

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  8. 4^(44)+4^(44)+4^(44)+4^(44)=4^x ,t h e nx

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  9. The 100^(th) root of 10^((10^(10))) is

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  10. Which of the following numbers has the terminating decimal representat...

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  11. Which of the following numbers can be represented as non-terminating r...

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  12. If g=t^(2/3)+\ 4t^(-1/2) , what is the value of g when t=64 ?

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  13. if x= 9 + 4sqrt(5) find the value of sqrt(x) - 1/sqrt(x)

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  14. If x=(1)/(sqrt(5)-2), find the value of x^(3)-3x^(2)-5x+3 .

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  15. The smallest rational number by which 1//3 should be multiplied so tha...

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  16. Evaluate : (27)^(-(1)/(3)).(27)^(-(1)/(3))[(27)^((1)/(3))-(27)^((2)/(3...

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  17. If (2^(m+n))/(2^(n-m))=16,(3^(p))/(3^(n))=81 and a=2^(1//10) then (a^(...

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  18. Find the value of (4)/((216)^(-2//3))-(1)/((256)^(-3//4))

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  19. Find the value of ((x^(a+b))^(2)(x^(b+c))^(2)(x^(c+a))^(2))/((x^(a)x^(...

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  20. (3^(5x)xx8 1^2xx6561)/(3^(2x))=3^7,t h e nx=

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