Which expression is equivalent to square root of 8 x to the 7th power y to the 8th power end root ? Assume x is greater than or equal to 0

Factor out the largest perfect squares: 8x⁷y⁸ = 4·x⁶·y⁸·2x. Taking the square root gives 2x³y⁴√(2x); the assumption x ≥ 0 lets us write √(x⁶) as x³. This matches choice D, 2x³y⁴√(2x).

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