exam Maths Puzzle Numerical Ability

if i represents the imaginary number whose square is -1,then (radical2 + radical2 x i)^4= ?

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Hi I need some help with this math problem: Solve by completing the square. Write the solutions in simplest radical form. The equation is x to the 2nd power - 14x = -47 Thanks for any help you can provide. A cylinder has a radius of 5 in. If the volume of the cylinder is 250x3.14 in.to the 3rd power, what is the height of the cylinder?