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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
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