What is the solution to the equation square root of 8 x is equal to square root of 4 plus 2 x end root ?

Square both sides of √(8x) = √(4 + 2x), noting both square roots are nonnegative. This gives 8x = 4 + 2x, so 6x = 4 and x = 2/3. Substituting x = 2/3 makes both sides equal to √(16/3), so the solution is choice D, x = 2/3.

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