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The value of (root(6)(27)-sqrt(6(3)/(4))...

The value of `(root(6)(27)-sqrt(6(3)/(4)))^(2)` equals

A

`(sqrt(3))/(2)`

B

`(3)/(2)`

C

`(sqrt(3))/(4)`

D

`(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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MTG IIT JEE FOUNDATION-NUMBER SYSTEMS-EXERCISE (Multiple choice Question(Level-1))
  1. If m=(cab)/(a-b) then b equals

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  2. The value of (x^(q)/x^(r))^(1/(qr)) xx (x^(r)/x^(p))^(1/(rp)) xx (x^(p...

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  3. The value of (root(6)(27)-sqrt(6(3)/(4)))^(2) equals

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  4. The rational number between 1//2 and 1//3 is

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

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

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

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  8. (2sqrt(6))/(sqrt(2)+sqrt(3)+sqrt(5)) equals

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

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

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  11. 4^(44)+4^(44)+4^(44)+4^(44)=4^x ,t h e nx

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

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

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

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

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

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

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

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

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

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