A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
why does the reciprocal of (2√5)/5 equals √5/2 ???
anonymous
 4 years ago
why does the reciprocal of (2√5)/5 equals √5/2 ???

This Question is Closed

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1because \(\huge \frac{\sqrt 5}{5}=\frac{\sqrt 5}{\sqrt5.\sqrt 5}=\frac{1}{\sqrt 5}\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i still dont get it..><

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1\(\huge \frac{2\sqrt 5}{5}=\frac{2\sqrt 5}{\sqrt5.\sqrt 5}=\frac{2}{\sqrt 5}\) which step ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0(2√5)/5 can also be written as \[\frac{ 2 }{ \sqrt{5} }\]

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1reciprocal means inversing the ratio, a/b becomes b/a

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0why is the denominator √5 multiply by √5

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1any number can be expressed as \(a=\sqrt a.\sqrt a\)

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1\(x^m.x^n=x^{m+n} \\so, \huge \sqrt 5.\sqrt 5= 5^{1/2}.5^{1/2}=5^{1/2+1/2}=5^1\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wait basically....√5 and 5 is the same?

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1no.... 5 and \(\sqrt 5.\sqrt 5\) are same.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but why do we have to multply by √5??

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0OMG i think i got it!!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so first, the reciprocal of (2√5)/5 is 5/2√5

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1es, you can do that way also!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and √5 crosses out which equals. √5 / 2!!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thank you soooo much!!!! im sorry if i put some streess on you!! i am really bad at math ><

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1no problem at all :) welcome ^_^
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.