anonymous one year ago Im drawing a blank on this?... why is 1/sqrt2/2 equal to sqrt 2? I thought it rationalized to 1?

1. 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?

2. anonymous

yes. :)

3. 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.

4. zepdrix

So for your problem:$\large\rm \frac{1}{\left(\frac{\sqrt2}{2}\right)}=1\cdot\frac{2}{\sqrt2}$

5. zepdrix

And from there, sure you can rationalize,$\large\rm \frac{2}{\sqrt2}\cdot\color{royalblue}{\frac{\sqrt2}{\sqrt2}}=\frac{2\sqrt2}{2}$

6. anonymous

Great!..... ok . I see what I was doing. I was just flipping it and multiplying. Thank you

7. zepdrix

c: