Answers edited by Teddy

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• How to find the cube roots of #sqrt(2) + isqrt(2)# ? Exhibit them as vertices of certain regular polygon, and identify the principal root
  
• A binary operation *,defined on the set of R of real numbers is given by x*y=x+y+2xy. Find the identity element? Show workings please
  
• What is meant by the determinant of a matrix?