In the terminal enter into the root by typing
after typing that you got
Password:
Enter the password then type
# rpm -ivh http://www.skype.com/go/getskype-linux-beta-fc10
After few minutes when it will show something like
skype ########################################### [100%]
Then search for skype in your pc and open it,
it will ask for agree or not with the term&condns
click on agree and enjoy the skype.