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The fraction (2(sqrt(2)+sqrt(6)))/(3(sqr...

The fraction `(2(sqrt(2)+sqrt(6)))/(3(sqrt(2+sqrt(3))))` is equal to

A

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

B

`1`

C

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

D

`(4)/(3)`

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. 0.12bar(3) can be expressed in rational form as

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  2. The fraction (2(sqrt(2)+sqrt(6)))/(3(sqrt(2+sqrt(3)))) is equal to

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  3. If xge0 , then sqrt(xsqrt(xsqrt(x))) =

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  4. Set of natural numbers is a subset of

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  5. Simplify: (7sqrt(3))/(sqrt(10)+sqrt(3))-(2sqrt(5))/(sqrt(6)+sqrt(5))-(...

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  6. The rationalising factor of root(5)(a^(2)b^(3)c^(4)) is

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  7. 1//(sqrt(3)-sqrt(2)) is not equal to

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  8. (a+sqrt(a^(2)-b^(2)))/(a-sqrt(a^(2)-b^(2)))+(a-sqrt(a^(2)-b^(2)))/(a+s...

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  9. Arrange in descending order of magnitude root(3)(2) , root(6)(3) , roo...

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  10. Write a rational number between sqrt(2) and sqrt(3)

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  11. The greater between sqrt(17)-sqrt(12) and sqrt(11)-sqrt(6) is

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  12. Which of the following expressions is same as (1)/((root(3)(2)-1)) ?

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  13. If m=(cab)/(a-b) then b equals

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

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

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

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

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

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

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  20. (2sqrt(6))/(sqrt(2)+sqrt(3)+sqrt(5)) equals

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