anonymous
  • anonymous
Simplify 4√6/√30 by rationalizing the denominator. Please show steps!
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\frac{ 4√6 }{ \sqrt{30} }\]
anonymous
  • anonymous
Thanks.
anonymous
  • anonymous
\[\frac{ 4\sqrt6 }{ \sqrt{30} } \times \frac{ \sqrt{30} }{ \sqrt{30} }\] \[\frac{ 4\sqrt6 (\sqrt{30}) }{ \sqrt{30}\times \sqrt{30} }\] \[\frac{ 4\sqrt{180} }{ 30 }\] \[\frac{ 24\sqrt5 }{ 30 }\] \[\frac{ 4\sqrt5 }{ 5 }\]

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anonymous
  • anonymous
@kausarsalley could you help me one more time?
anonymous
  • anonymous
okay...what is the question??
anonymous
  • anonymous
\[(2\sqrt{5} + 3\sqrt{7})^2 \]
anonymous
  • anonymous
okay....the simplest way to expand is to go by this... \[(a+b)^2=a^2+2ab+b^2\]
anonymous
  • anonymous
It also says to justify each step? Does that mean I have to explain each step?
anonymous
  • anonymous
using that, \[(2\sqrt5+3\sqrt7)^2=(2\sqrt5)^2+2(2\sqrt5)(3\sqrt7)+(3\sqrt7)^2\]
anonymous
  • anonymous
Thanks.
anonymous
  • anonymous
its not done with simplifying..
anonymous
  • anonymous
or can you continue from there??
anonymous
  • anonymous
Oh, I was just saying.
anonymous
  • anonymous
I'm not sure what to do.
anonymous
  • anonymous
\[(2^2(\sqrt5)^2)+4\sqrt5(3\sqrt7)+(3^2(\sqrt7)^2\] \[20 + 12\sqrt{35}+63\] \[83+12\sqrt{35}\]
anonymous
  • anonymous
do you understand what i have done??
anonymous
  • anonymous
I think I might, is that the final answer?
anonymous
  • anonymous
Thanks.
anonymous
  • anonymous
sorry for the late reply.... yw

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