[" Let a be a root of the equation "x^(2)+x+1=],[0" and the matrix "A=(1)/(sqrt(3))[[1,1,1],[1,alpha,alpha^(2)],[1,alpha^(2),alpha^(4)]]," then "],[" the matrix "A^(31)" is equal to: "]

Let alpha be a root of the equation x ^(2) + x + 1 = 0 and the matrix A = ( 1 ) /(sqrt3) [{:( 1,,1,,1),( 1,, alpha ,, alpha ^(2)), ( 1 ,, alpha ^(2),, alpha ^(4)):}] then the matrix A ^( 31 ) is equal to :

Let alpha be a root of the equation x ^(2) + x + 1 = 0 and the matrix A = ( 1 ) /(sqrt3) [{:( 1,,1,,1),( 1,, alpha ,, alpha ^(2)), ( 1 ,, alpha ^(2),, alpha ^(4)):}] then the matrix A ^( 31 ) is equal to :

The roots of the equation x^(2)-2sqrt3 x+3=0 are

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

The roots of the equation x^(2)+2sqrt(3)x+3=0 are

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

The roots of the equation x^(2)-2sqrt(3)x+3=0 are