What is the smallest positive integer k such that (2000)(2001)k is a perfect sqaure ?

• 2000*2001*k = (400*5)*(3*23*29)*k = 400*(5*2001)*k
  
  hence 5*2001= 10005 is the smallest positive integer k such that (2000)(2001)k is a perfect square .
• 12 years agoHelpfull: Yes(3) No(0)
• k=2000*2001=4002000
  let k=xy such that 2000*x=2001*y then x/y=2001/2000 which can't be further simplified
• 12 years agoHelpfull: Yes(0) No(4)
• K=1005
  
  2000=400*5=20^2*5
  2001=3*667
  3,5,667 ARE PRIME NUMBERS .SO WE SHOULD MULTIPLY WITH 3*667*5=10005
  =>K=10005
• 12 years agoHelpfull: Yes(0) No(2)