anonymous
  • anonymous
rationalize the denominator
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
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tiffanymak1996
  • tiffanymak1996
\[\frac{ 6 }{ 7-2+2\sqrt{6}-3\sqrt{6} }\]
tiffanymak1996
  • tiffanymak1996
\[\frac{ 6 }{ 5-\sqrt6 }\]

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tiffanymak1996
  • tiffanymak1996
\[\frac{ 6 }{ 5-\sqrt6 }\times \frac{ 5+\sqrt6 }{ 5+\sqrt6 }\]
tiffanymak1996
  • tiffanymak1996
\[\frac{ 6(5+\sqrt6) }{ 25-6 }\]
tiffanymak1996
  • tiffanymak1996
then just do the subtraction and multiplication, which should result in (30+6sqrt6)/19
anonymous
  • anonymous
wow, thankyou! that made sense!
tiffanymak1996
  • tiffanymak1996
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.
anonymous
  • anonymous
thanyou :)

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