Batman's Cave

Thread Topic: Batman's Cave

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  batman12506 Experienced

  8 years ago
  Hey
• 

  Venere Veritas Novice

  8 years ago
  pi
• 

  Venere Veritas Novice

  8 years ago
  There is a method called the binary search method that will find the
  square root of any number N. You'll need a calculator to do this
  method.
  
  The first step is to pick a value you know to be too small the be the
  square root of Pi. Call this value S (for small guess). The next
  step is to pick a value you know to be too large to be the square root
  of Pi. Call this value L (for large value).
  
  Then since Pi = 3.14159.... we'll say S = 1, and L = 2.
  
  S = 1
  L = 2
  
  Then find S^2 and L^2 (S and L squared):
  
  S^2 = 1
  L^2 = 4
  
  Which of these values is farther away from Pi? S^2 is farther away
  from Pi then L^2, so replace S with the average of S and L. Now we
  have:
  
  S = 1.5
  L = 2
  
  Continue the process:
  
  S^2 = 2.25
  L^2 = 4
  
  Replace the small value again since its square is farther away.
  
  S = 1.75
  L = 2
  
  Goes to:
  
  S^2 = 3.0625
  L^2 = 4
  
  Replace the large value now:
  
  S = 1.75
  L = 1.875
  
  Goes to:
  
  S^2 = 3.0625
  L^2 = 3.515625
  
  Replace the large value again:
  
  S = 1.75
  L = 1.8125
  
  Goes to:
  
  S^2 = 3.0625
  L^2 = 3.28515625
  
  At which point we know to replace the large value again since its
  square is farther away then the small value's square.
  
  So
  
  S = 1.75
  L = 1.78125
  
  At this point we know the square root of Pi lies between 1.75 and
  1.78125. Continuing this process we can get finer and finer bounds for
  the value of the sqaure root of Pi. After a while we will see that
  the square root of Pi equals 1.77245.... Since Pi is irrational we
  can never get an exact answer and we have to settle for an
  approximation.
  
  Hope this helps.
• 

  Venere Veritas Novice

  8 years ago
  1.77245385091
  : , , . .
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• 

  batman12506 Experienced

  8 years ago
  oh kewl
• 

  Venere Veritas Novice

  8 years ago
  I suck at math ......l
• 

  batman12506 Experienced

  8 years ago
  Me 2
• 

  Venere Veritas Novice

  8 years ago
  lololololololololol
• 

  batman12506 Experienced

  8 years ago
  TRALALA!
• 

  Venere Veritas Novice

  8 years ago
  Jozy and Jesse sittin' in a tree, K I S S I N G!
• 

  batman12506 Experienced

  8 years ago
  Ams I being ignored? ^O^
• 

  batman12506 Experienced

  8 years ago
  Yeeess I am
• 

  Venere Veritas Novice

  8 years ago
  Jozy and Jesse sittin' in a tree, K I S S I N G!
• 

  batman12506 Experienced

  8 years ago
  No....
• 

  Venere Veritas Novice

  8 years ago
  Yes..

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