anonymous
  • anonymous
How do I simplify 3 sqrt 6 +5 / sqrt 6 + 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
is this correct? \[3\sqrt{6} + 5 / \sqrt{6} +2\]
anonymous
  • anonymous
am i reading it write is what i mean?
anonymous
  • anonymous
yes. how do i simplify that?

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More answers

anonymous
  • anonymous
ok, you want to simplify the denominator, do this by multiplying the top and bottom of the equation by the conjugate of the denominator (\[\sqrt{6} - 2\])
Luigi0210
  • Luigi0210
Hello @whatwhatt Welcome to Openstudy :)
anonymous
  • anonymous
this will leave you with \[(3\sqrt{6}+5)(\sqrt{6}-2)\]
anonymous
  • anonymous
all divided by 2
anonymous
  • anonymous
why is it divided by 2?
anonymous
  • anonymous
\[\frac{ (3\sqrt{6}+5)(\sqrt{6}−2) }{ 2 }\]
anonymous
  • anonymous
okay
anonymous
  • anonymous
then you just need to expand the brackets in the numerator
anonymous
  • anonymous
do you know how to do that or did you want me to step you through?
anonymous
  • anonymous
would you please take me through that too?
anonymous
  • anonymous
yeah sure, lemme write it out in my book real quick so i can explain it as clear as i can
anonymous
  • anonymous
i dont really understanding multiplying with radicals
anonymous
  • anonymous
thank you so much!
anonymous
  • anonymous
did you get it @Omistone
anonymous
  • anonymous
\[=\frac{ (3\sqrt{6}+5)(\sqrt{6}-2) }{ 2 }\] \[= \frac{ 18-6\sqrt{6}+5\sqrt{6}-10 }{ 2 }\] \[= \frac{18-\sqrt{6}-10 }{ 2 } \] \[=9-\frac{ \sqrt{6} }{ 2 }-5\] which = 2.775255129
anonymous
  • anonymous
sorry, that took a really long time to write in the equation writer
anonymous
  • anonymous
thank you so much!
anonymous
  • anonymous
no problem :) always glad to help with surds

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