A community for students.
Here's the question you clicked on:
 0 viewing
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?
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?

This Question is Closed

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1It'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?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Recall:\[\large\rm \frac{\left(\frac{a}{b}\right)}{\left(\frac{c}{d}\right)}=\frac{a}{b}\cdot\frac{d}{c}\]Maybe you've learned it as "Keep Change Flip" or something similar.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So for your problem:\[\large\rm \frac{1}{\left(\frac{\sqrt2}{2}\right)}=1\cdot\frac{2}{\sqrt2}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1And from there, sure you can rationalize,\[\large\rm \frac{2}{\sqrt2}\cdot\color{royalblue}{\frac{\sqrt2}{\sqrt2}}=\frac{2\sqrt2}{2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Great!..... ok . I see what I was doing. I was just flipping it and multiplying. Thank you
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.