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anonymous

  • 5 years ago

Rationalize the denominator and simplify. All variables represent positive real numbers. square root 11 / square root 33 - square root 5

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  1. radar
    • 5 years ago
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    \[\sqrt{11}\div(\sqrt{33}-\sqrt{5})\]

  2. radar
    • 5 years ago
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    Is that the problem the denominator consist of two terms

  3. radar
    • 5 years ago
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    assuming that is the case multiply the numerator and the denominator by the conjugate of the denominator.

  4. radar
    • 5 years ago
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    \[\sqrt{11}(\sqrt{33}+\sqrt{5})\div(\sqrt{33}-\sqrt{5})(\sqrt{33}+\sqrt{5})\]

  5. radar
    • 5 years ago
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    \[(\sqrt{11}\sqrt{33}+\sqrt{11}\sqrt{5})\div(33-5)\]

  6. anonymous
    • 5 years ago
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    ok what do you do next

  7. radar
    • 5 years ago
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    \[(11\times \sqrt{3}+\sqrt{11}\sqrt{5})\div28\]

  8. radar
    • 5 years ago
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    Think that is far as I can go with it. Doesn't seem to simplify any further! But it sure don't look simple. LOL

  9. radar
    • 5 years ago
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    \[(11\times \sqrt{3}+\sqrt{55})\div28\]

  10. radar
    • 5 years ago
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    A little bit simpler

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spraguer (Moderator)
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