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Which of the following is equivalent to the radical expression below when x≥0√2x • √x+3

Which of the following is equivalent to the radical expression below when x≥0√2x • √x-example-1

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SOLUTION

Which of the following is equivalent to the radical expression below when x≥0


√(2x).√(x+3)

Multiplying the root of the equation


\begin{gathered} √(2x).√(x+3) \\ √(2x(x+3)) \\ √(2x^2+6x) \end{gathered}

Therefore the correct answer is


√(2x^2+6x)

Option C

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