anonymous
  • anonymous
help me please :) 1. Which expression is equivalent to radical 5+ radical 3 / radical 5 - radical 3? 2. The fraction 1-1/a divided by 1-1/a^2 is equiv. to... 3. Solve for x: 3/x-2+8/x^2-4=1
Mathematics
chestercat
  • chestercat
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tkhunny
  • tkhunny
Please use parentheses to write what you intend. In your #1, you have written \(\sqrt{5} + \dfrac{\sqrt{3}}{\sqrt{5}} - \sqrt{3}\). I'm guessing this is not what you intended. In what I suspect you intended, multiply numerator and denominator separetely by \(\sqrt{5}+\sqrt{3}\) and see what magic happens, especially in the denominator.
anonymous
  • anonymous
|dw:1356738160323:dw|
tkhunny
  • tkhunny
Indeed. Did you do what I said? That will solve it.

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anonymous
  • anonymous
ok I'll try
tkhunny
  • tkhunny
Good call. Show us what you get.
anonymous
  • anonymous
|dw:1356738348623:dw|
anonymous
  • anonymous
8+radical15
tkhunny
  • tkhunny
SO CLOSE!!!! That's \(8+2\sqrt{15}\) and then you have a common factor in numerator and denominator that can help to simplify a little more. Excellent work. You're getting it.
anonymous
  • anonymous
I made an error
anonymous
  • anonymous
|dw:1356738746427:dw|
anonymous
  • anonymous
thanks:)
anonymous
  • anonymous
4+ radical 15
tkhunny
  • tkhunny
Spot on!
anonymous
  • anonymous
\[4+\sqrt{15}\]
anonymous
  • anonymous
thank you :)

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