Show that `z = ((-1 + sqrt ( -3))/(2)) ^(3) ` is a rotaional number.

Show that z = (-1 + sqrt(-3) / 2)^3 is a rational number.

Show that (-1 + sqrt (3i))^3 is a real number.

Show that (sqrt(3)/2 + i/2)^3 = i

Show that 4sqrt(2) I an irrational number.

Show that (-1+sqrt3 i)^3 is a real number

Show that z= frac{5}{(1-i)(2-i)(3-i)} is purely imaginary number

Show that 4 \sqrt{2} is an irrational number.

Show that 5\sqrt{3} is an irrational number.

Show that ((1)/( sqrt2) + (i)/( sqrt2 )) ^( 10) + ((1)/( sqrt2 ) - (i)/( sqrt2 )) ^( 10 ) = 0

Show that (sqrt(7) + isqrt(3)) / (sqrt(7) - isqrt(3)) + (sqrt(7) - isqrt(3)) / (sqrt(7) + isqrt(3)) , is real.