 
    
      problem
      
      
    
    
          
      
  
Root hunter
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
 
    
      problem
      
      
    
    
          
      
  
Archimedes numerical roots
How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
 
