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itsjustme_lol

  • 3 years ago

rationalize the denominator

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  1. itsjustme_lol
    • 3 years ago
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  2. tiffanymak1996
    • 3 years ago
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    \[\frac{ 6 }{ 7-2+2\sqrt{6}-3\sqrt{6} }\]

  3. tiffanymak1996
    • 3 years ago
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    \[\frac{ 6 }{ 5-\sqrt6 }\]

  4. tiffanymak1996
    • 3 years ago
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    \[\frac{ 6 }{ 5-\sqrt6 }\times \frac{ 5+\sqrt6 }{ 5+\sqrt6 }\]

  5. tiffanymak1996
    • 3 years ago
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    \[\frac{ 6(5+\sqrt6) }{ 25-6 }\]

  6. tiffanymak1996
    • 3 years ago
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    then just do the subtraction and multiplication, which should result in (30+6sqrt6)/19

  7. itsjustme_lol
    • 3 years ago
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    wow, thankyou! that made sense!

  8. tiffanymak1996
    • 3 years ago
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    good, usually for rationalizing the denominator, you just apply a^2 -b^2 = (a+b)(a-b), to eliminate the surds, then you're done.

  9. itsjustme_lol
    • 3 years ago
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    thanyou :)

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