What is the following sum? Assume x is greater than or equal to 0 and y is greater than or equal to 0 square root of x squared y cubed end root plus 2 square root of x cubed y to the 4th power end root plus x y square root of y

Because x and y are nonnegative, √(x²y³) = xy√y and √(x³y⁴) = xy²√x. Including the coefficient 2, the second term becomes 2xy²√x. The last term is already xy√y, so combining the first and last terms gives 2xy√y. The sum is 2xy√y + 2xy²√x, which is choice D.

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