All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Simplify Ratio of Expressions (Posted on 2023-11-06) Difficulty: 3 of 5
Simplify this expression:
  √(1+√(1+x))
---------------
√(1+√x)+√(1-√x)

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
√(1+√(1+x))
---------------
√(1+√x)+√(1-√x)
   
 √(1+√(1+x))(√(1+x))-√(1+x))
= --------------------------
   (√(1+√(1+x))(√(1-√(1+x))

   √(1+x)- √(1-x^2))
= ------------------
    2(√(1+x))

   1+x - √(1-x^2)(1+x)
= -----------------------
       2(1+x)

    1+x - √(1+x-x^2-x^3)
= ----------------------
    2(1+x)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectK Sengupta2023-11-30 23:04:26
No SubjectK Sengupta2023-11-30 23:04:18
No Subjectrebelssasha2023-11-30 03:21:15
No SubjectK Sengupta2023-11-21 20:30:34
essaySat Lat2023-11-21 15:13:33
No SubjectChrissy Parks2023-11-11 08:07:40
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (11)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information