Answer
$\frac{(x+1)(x+3)}{x^{\frac{1}{2}}}$
Work Step by Step
$3x^{-\frac{1}{2}} + 4x^{\frac{1}{2}} + x^{\frac{3}{2}}$
$= x^{-\frac{1}{2}}(3 + 4x + x^{2})$
$= \frac{(x+1)(x+3)}{x^{1/2}}$
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