Q. All the nine digits are arranged here so as to form four square numbers: 9, 81, 324, 576.
How would you put them together so as to form a single smallest possible square number and single largest possible square number?

• smallest square number = 139854276 =(11826)^2
  largest square number = 923187456 =(30384)^2
• 11 years agoHelpfull: Yes(4) No(2)
• 9, 81, 324, 576
  
  3^2, 3^4, 2^2*3^4, 2^6*3^2
  
  write them as a fraction so that as many terms cancel as possible
  
  2^6*3^2 * 3^4 / (2^2*3^4 * 3^2) = 2^4 = 4^2 = 16
  
  576*81/(324*9) = 4^2 = 16
  so,16 is smallest square using these four numbers
• 11 years agoHelpfull: Yes(1) No(7)
• smallest .. 139854276
  largest ... 923187456
• 11 years agoHelpfull: Yes(1) No(3)