anonymous
  • anonymous
Simplify
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\frac{\sqrt{6}}{\sqrt{2}} + \frac{3}{\sqrt{3}} + \frac{\sqrt{15}}{\sqrt{5}} +\frac{\sqrt{18}}{\sqrt{6}}\]
anonymous
  • anonymous
Remember one thing: \[\large \color{green}{\frac{\sqrt{x}}{\sqrt{y}} = \sqrt{\frac{x}{y}}}\]
anonymous
  • anonymous
So for first term apply this formula... and tell me what do you get..??

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anonymous
  • anonymous
@mathslover will suggest you to take the rationalization process I guess..
mathslover
  • mathslover
\[\large{\frac{\sqrt{6}}{\sqrt{2}}=\sqrt{\frac{6}{2}}}\] \[\large{\sqrt{6}=\sqrt{3}}\] \[\large{\frac{3}{\sqrt{3}}}\]Now rationalizing the above expression
anonymous
  • anonymous
Every term will contain 3 after solving Strange WOW..
anonymous
  • anonymous
yes i get it, but then how do i simplify later
mathslover
  • mathslover
sorry i meant : \(\frac{\sqrt{6}}{\sqrt{2}}=\sqrt{3}\)
anonymous
  • anonymous
yes there are three terms like that and the other one 3/root 3
anonymous
  • anonymous
What do you get show us first..
mathslover
  • mathslover
|dw:1342950785620:dw|
anonymous
  • anonymous
root 3 + root 3 + root 3 + 3/ root 3
mathslover
  • mathslover
Yes right
anonymous
  • anonymous
Oh sorry..
anonymous
  • anonymous
Take the LCD..
anonymous
  • anonymous
then it becomes 3 root 3 + 3/root 3
anonymous
  • anonymous
LCD = root(3)
anonymous
  • anonymous
i get it thanks :)
anonymous
  • anonymous
we have to rationalize later :)
anonymous
  • anonymous
Take the LCM and then we will do rationalization..
anonymous
  • anonymous
Yes you are absolutely correct @zaphod
anonymous
  • anonymous
thanks alot :) guys
mathslover
  • mathslover
Now rationalizing \(\huge{\frac{3}{\sqrt{3}}}\) = \(\huge{\frac{3*\sqrt{3}}{\sqrt{3}*\sqrt{3}}}\) \[\huge{\frac{\sqrt{3}\cancel{3}^1}{\cancel{3}^1}}\] \[\huge{\sqrt{3}}\]
anonymous
  • anonymous
Or if you take rationalization process first then you need not to take LCD..
anonymous
  • anonymous
|dw:1342951138950:dw|
anonymous
  • anonymous
Did you understand how to do this?? @zaphod
anonymous
  • anonymous
i got the answer
anonymous
  • anonymous
My question is not about the answer.. I said did you get how to do this??
anonymous
  • anonymous
yes i got it
anonymous
  • anonymous
That is nice..

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