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The value of sqrt(( sqrt(12) -sqrt(8))...

The value of
`sqrt(( sqrt(12) -sqrt(8))(sqrt(3)+sqrt(2))/(5+sqrt(24))` is

A

`sqrt(6) - sqrt(2)`

B

`sqrt(6) + sqrt(2)`

C

`sqrt(6)-2`

D

`2-sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
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S CHAND IIT JEE FOUNDATION-SURDS -QUESTION BANK -6
  1. Given that: sqrt(3) = 1.732, (sqrt(6) + sqrt(2)) / (sqrt(6)-sqrt(2)) i...

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  2. If x=8 + 2sqrt(15), then the value of sqrt(x) + 1/sqrt(x) is:

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  3. 1+(4sqrt(3))/(2-sqrt(2)) -30/(4sqrt(3)-sqrt(18)) - sqrt(18)/(3+2sqrt(3...

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  4. Given that: sqrt(3)=1.732, then (sqrt(147) -1/4sqrt(48) -sqrt(75)) is ...

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  5. If sqrt(6) =2.55, then the value of sqrt(2/3) + sqrt(3/2) is:

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  6. The value of sqrt(5 sqrt(5 sqrt(5)...)) is

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  7. The value of 1/(sqrt(3.25) + sqrt(2.25)) + 1/(sqrt(4.25) + sqrt(3.25))...

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  8. If sqrt(2)=1. 414 , the square root of (sqrt(2)-1)/(sqrt(2)+1) is n...

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  9. The value of 1/(sqrt(12-sqrt(140)))-1/(sqrt(8-sqrt(60)))-2/(sqrt(10+sq...

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  10. sqrt(2+sqrt(2+sqrt(2+\ dot))) is equal to (a) 1 (b) 1.5 (c) 2 (d) 2.5

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  11. The value of sqrt32 - sqrt128 + sqrt50 correct to 3 places of decimal...

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  12. The value of sqrt(( sqrt(12) -sqrt(8))(sqrt(3)+sqrt(2))/(5+sqrt(24))...

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  13. What is the sum of the square of the following numbers? sqrt(3)/(sq...

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  14. Which is the odd one out of the following?

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  15. If a=(sqrt(3)+sqrt(2))^(- 3) and b=(5-2sqrt(6))^(- 3/2) then the valu...

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  16. By how much does 5sqrt(7) - 2sqrt(5) exceed 3sqrt(7) - 4sqrt(5) ?

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  17. If a=(sqrt(5)+1)/(sqrt(5)-1) and b=(sqrt(5)-1)/(sqrt(5)+1) , the value...

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  18. Given that sqrt(3) = 1.732, the value of (3 + sqrt(6 ))/( 5 sqrt(3) -...

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  19. The sum of 1/(sqrt(2)+1) + 1/(sqrt(3) + sqrt(2)) + 1/(sqrt(4) + sqrt(3...

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  20. If 4=sqrt(x + sqrt(x + sqrt(x +..))), then the value of x will be:

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