if m=2- root 3 (i.e 2-(3)^(1/2) )
Find the value of:
(m^6+m^5+m^4+1)/m^3

• m=2-(3)^1/2 m^2=7-4(3)^1/2 & m^3=26-15(3)^1/2 : m^6+m^5+m^4+1/m^3=m^3+m^2+m+1/m^3
  =61-5(3)^1/2
  
• 9 years agoHelpfull: Yes(5) No(0)
• Answer is 56
• 6 years agoHelpfull: Yes(0) No(1)
• m=2-root 3;
  1/m= 2 + root 3 (by rationalisation)
  m+1/m=4 by calculating
  m^3+1/m^3= 52
  so ans is 52+4=56
• 6 years agoHelpfull: Yes(0) No(0)