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anonymous

  • one year ago

Okay, last one...

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  1. anonymous
    • one year ago
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    \[\frac{ \sqrt{x+5}-4 }{ x-11 }\] this is as x approaches 11

  2. anonymous
    • one year ago
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    gimmick is to rationalize the numerator

  3. anonymous
    • one year ago
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    rationalize the numerator

  4. anonymous
    • one year ago
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    leave the denominator in factored form, i.e don't multiply out

  5. anonymous
    • one year ago
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    Multiply by \(\frac{\sqrt{x+5}+4}{\sqrt{x+5}+4}\)

  6. anonymous
    • one year ago
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    \[ \frac{ x+5 + 16}{ x-11 (\sqrt{x+5})}\]

  7. anonymous
    • one year ago
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    \[\frac{ x+21 }{ x-11\sqrt{x+5} }\]

  8. anonymous
    • one year ago
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    Then I would plug in the the value and solve, correct?

  9. anonymous
    • one year ago
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    Check your multiplication. You need to expand the numerator, but no need to expand the denominator.

  10. anonymous
    • one year ago
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    \[\frac{ \sqrt{x+5}-4 }{ x-11 } \times \frac{\sqrt{x+5}+4}{\sqrt{x+5}+4}\]

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spraguer (Moderator)
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