anonymous
  • anonymous
How to simplify this? \( \frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1}\)
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
It is suppose to be How to simplify this? \( \frac{-\sqrt{3} - 1}{1+(-\sqrt{3})*1}\)
GenTorr
  • GenTorr
3 11 11 3
anonymous
  • anonymous
HUH? the answer is \( 2+ \sqrt{3}\) but how did they get it?

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TheSmartOne
  • TheSmartOne
First simplify the denominator.
anonymous
  • anonymous
How?
TheSmartOne
  • TheSmartOne
\(\sf\Large 1+ (-\sqrt{3})\times 1\) Anything times 1 is 1 and when you add a negative number you are basically subtracting it. Make sure to follow PEMDAS
anonymous
  • anonymous
So I need to How to simplify this? \( \frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1} \frac{1+(-\sqrt{3}*1}{1+(-\sqrt{3}*1}\)
TheSmartOne
  • TheSmartOne
We are getting to that, first we need to simplify the denominator :)
anonymous
  • anonymous
So \[ \frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1} \frac{1+(-\sqrt{3})}{1+(-\sqrt{3})} \]
anonymous
  • anonymous
\[ \frac{-\sqrt{3} - 1}{1+(-\sqrt{3}} * \frac{1+(-\sqrt{3})}{1+(-\sqrt{3})} \]
TheSmartOne
  • TheSmartOne
yes, however: \(\sf 1+(-\sqrt{3})=1-\sqrt{3}\)
TheSmartOne
  • TheSmartOne
and then we have to multiply the numerator and denominator by the conjugate of \(\sf1-\sqrt{3}\)
anonymous
  • anonymous
Do we use foil to times \[ (-\sqrt{3}-1)(1-\sqrt{3}) \]
TheSmartOne
  • TheSmartOne
yes
anonymous
  • anonymous
I got 2 for the numerator is this correct?
TheSmartOne
  • TheSmartOne
I fail to see how you got that... |dw:1433890581827:dw|

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