anonymous
  • anonymous
Im drawing a blank on this?... why is 1/sqrt2/2 equal to sqrt 2? I thought it rationalized to 1?
Mathematics
chestercat
  • chestercat
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zepdrix
  • zepdrix
It's hard to read your crazy totem pole there. \[\large\rm \frac{1}{\left(\frac{\sqrt2}{2}\right)}\]Is this what we're dealing with?
anonymous
  • anonymous
yes. :)
zepdrix
  • zepdrix
Recall:\[\large\rm \frac{\left(\frac{a}{b}\right)}{\left(\frac{c}{d}\right)}=\frac{a}{b}\cdot\frac{d}{c}\]Maybe you've learned it as "Keep Change Flip" or something similar.

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zepdrix
  • zepdrix
So for your problem:\[\large\rm \frac{1}{\left(\frac{\sqrt2}{2}\right)}=1\cdot\frac{2}{\sqrt2}\]
zepdrix
  • zepdrix
And from there, sure you can rationalize,\[\large\rm \frac{2}{\sqrt2}\cdot\color{royalblue}{\frac{\sqrt2}{\sqrt2}}=\frac{2\sqrt2}{2}\]
anonymous
  • anonymous
Great!..... ok . I see what I was doing. I was just flipping it and multiplying. Thank you
zepdrix
  • zepdrix
c:

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