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(12)/( 3+ sqrt(5 ) + 2sqrt(2)) is equal ...

`(12)/( 3+ sqrt(5 ) + 2sqrt(2))` is equal to

A

`-sqrt5 +sqrt2 +sqrt10`

B

`1+sqrt5 +sqrt2 - sqrt10`

C

`1+sqrt5 - sqrt2 - sqrt10`

D

`1- sqrt(5) - sqrt2 + sqrt10`

Text Solution

Verified by Experts

The correct Answer is:
B
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LUCENT PUBLICATION-INDICES AND SURDS -Exercise - 2A
  1. If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt...

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  2. Simplest form of ((sqrt(26 - 15sqrt(3)))/(5sqrt2-sqrt(38+5sqrt3)))^2 ...

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  3. (12)/( 3+ sqrt(5 ) + 2sqrt(2)) is equal to

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  4. Number of solution of the equation sqrt(x^(2)-x + 1) + (1)/(sqrt(x^(2)...

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  5. If x= (sqrt3 - sqrt2)/(sqrt3+sqrt2) and y = (sqrt3+sqrt2)/(sqrt3-sqrt2...

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  6. If (sqrt5 - sqrt2) p = sqrt5 +sqrt2 and pq = (pq)^3 , then the value o...

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  7. If sqrt(10+sqrt24 +sqrt40+sqrt60)= sqrtp+sqrtq+sqrtr then value of p +...

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  8. Find the cube root of 72 -32sqrt5

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  9. Value of 1/sqrt(11-2sqrt30)-3/sqrt(7-2sqrt10)-4/(sqrt(8+4sqrt3)) is

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  10. Value of (3+sqrt6)/(5sqrt3-2sqrt12-sqrt32+sqrt50) is

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  11. If a= sqrt((sqrt5+1)/(sqrt5-1)) then sqrt(a^2-a-1) is equal to .

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  12. If x = (a + sqrt(a^(2) + b^(3)))^((1)/(3)) + (a-sqrt(a^(2) + b^(3)))^(...

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  13. Value of sqrt(139-80sqrt3) is

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  14. If (a+3)sqrt2 + 3 = b sqrt8 + a - 1 then value of a + b is

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  15. If x gt2 then what is the value of sqrt(x+2sqrt(x-1))+sqrt(x-2sqrtx-1...

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  16. If 1 lt x lt2 then what is the value of sqrt(x+2sqrt(x-1))+sqrt(x-2sqr...

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  17. lf x=(sqrt3)/2, then value of (sqrt(1+x))/(1+sqrt(1+x))+(sqrt(1-x))/(1...

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  18. If x/y = y/z = z/w then (x^m+y^m +z^m+w^m)/(x^(-m)+y^(-m )+z^(-m)+w^(...

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  19. Which of the following quantity is integer ?

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  20. What is the real value of (256)^(0.16)xx(16)^(0.18) ?

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