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lgbasallote

  • 2 years ago

Rationalize: \[\huge \frac{\sqrt{4+h} - 2}h\]

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  1. Jonask
    • 2 years ago
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    \[\frac{ 4+h-4 }{ h(\sqrt{4+h}+2) }=\frac{ 1 }{\sqrt{4+h}+2 }\] nomarlly limit question

  2. Jonask
    • 2 years ago
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    we multiplied by\[\sqrt{4+h}+2\] both num and denominator

  3. lgbasallote
    • 2 years ago
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    hmmm...isn't the point of rationalization to remove radicals from the denominator?

  4. swissgirl
    • 2 years ago
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    Well then there were no radicals in the denominator

  5. swissgirl
    • 2 years ago
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    So u wld keep it the way it is

  6. lgbasallote
    • 2 years ago
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    really?

  7. Jonask
    • 2 years ago
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    imagine if this question was\[\lim_{h \rightarrow 0}\frac{ \sqrt{4+h}-2 }{ h }\]

  8. lgbasallote
    • 2 years ago
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    ??

  9. Jonask
    • 2 years ago
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    you cant just plug h=0 here but in the rationalised one

  10. swissgirl
    • 2 years ago
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    Ohh that is cool :P

  11. lgbasallote
    • 2 years ago
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    limits in an algebra question? that's morbid.....

  12. ParthKohli
    • 2 years ago
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    Rationalizing means to remove the radical from the place it is in...

  13. swissgirl
    • 2 years ago
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    hmmm well u can be asked to rationalize the numerator too

  14. lgbasallote
    • 2 years ago
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    now im confused with the contradictions...

  15. swissgirl
    • 2 years ago
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    What are the contradictions?

  16. lgbasallote
    • 2 years ago
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    @swissgirl said don't change...now she says change

  17. swissgirl
    • 2 years ago
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    Just use ur own brain -_-

  18. swissgirl
    • 2 years ago
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    lol

  19. lgbasallote
    • 2 years ago
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    someone's wrong here....wonder who

  20. ParthKohli
    • 2 years ago
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    If they ask you to rationalize the fraction, you do these: 1) If the radical is in the denominator — remove it from the denominator. Do not care about the numerator. 2) If the radical is in the numerator — remove it from the numerator. Do not care about the denominator.

  21. Jonask
    • 2 years ago
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    \[\frac{ 1 }{ \sqrt{2} }=\frac{ \sqrt{2} }{ 2 }\]

  22. Jonask
    • 2 years ago
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    rationalised

  23. lgbasallote
    • 2 years ago
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    i know what happens if it's in the denominator

  24. swissgirl
    • 2 years ago
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    trust me lgba knows how to rationalize a numerator or denomanator

  25. lgbasallote
    • 2 years ago
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    the question is if it's in the numerator

  26. ParthKohli
    • 2 years ago
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    See how you can't remove the radical from both numerator and denominator?

  27. ParthKohli
    • 2 years ago
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    Yes, so move it to the denominator. Do not care about the denominator.

  28. lgbasallote
    • 2 years ago
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    my question is not how to rationalize @swissgirl but if it's suppose to be rationalized

  29. ParthKohli
    • 2 years ago
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    You can rationalize it, but mathematicians always love if the radical is in the numerator.

  30. lgbasallote
    • 2 years ago
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    because what i know is that if it's in the numerator, then it's okay

  31. ParthKohli
    • 2 years ago
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    It's better to put radicals in the numerator rather than the denominator.

  32. lgbasallote
    • 2 years ago
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    so why put in denominator then?

  33. Jonask
    • 2 years ago
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    \[\frac{ \sqrt{2} }{ 2 }=\frac{ 1 }{ \sqrt{2} }\] these is also called rationalising sometimes it is convinient to write in the dinominatpr eg in the case of a limit

  34. swissgirl
    • 2 years ago
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    Well what i have always learnt was that rationalization=denominator but I have gone online and seen that some do rationalize the numerator too so it all depends what course you are taking and what you see in your the textbook

  35. ParthKohli
    • 2 years ago
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    Yup, I saw that you could rationalize the numerator too though it's rare.

  36. lgbasallote
    • 2 years ago
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    when i went online, all i saw were unreliable sources on rationalizing numerators

  37. swissgirl
    • 2 years ago
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    http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut41_rationalize.htm

  38. ParthKohli
    • 2 years ago
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    Never rationalize the numerator unless given a question to perform.

  39. swissgirl
    • 2 years ago
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    http://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/Rationalizing.aspx

  40. lgbasallote
    • 2 years ago
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    \[\lim_{x \rightarrow 0} \sqrt x\]seems better than \[\lim_{x \rightarrow 0} \frac 1{\sqrt x}\] @Jonask

  41. swissgirl
    • 2 years ago
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    These are both reliable sources

  42. lgbasallote
    • 2 years ago
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    hmm

  43. Jonask
    • 2 years ago
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    how ever if you where asked to do the same function using the first prinsiple you will need to rationalise

  44. lgbasallote
    • 2 years ago
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    the links win. can't argue with that.

  45. Jonask
    • 2 years ago
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    \[\frac{ \sqrt{x+h}-\sqrt{x} }{ h }\]ration. \[\frac{ 1 }{ \sqrt{x+h}+\sqrt{x} }\]

  46. lgbasallote
    • 2 years ago
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    square roots in denominators really look weird...

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