Answer
$5x\sqrt{2x}$
Work Step by Step
$\frac{\sqrt{150x^{4}}}{{\sqrt{3x}}}$
By the quotient rule for square roots
$=\sqrt{\frac{150x^{4}}{3x}}$
$=\sqrt{50x^{3}}$
$=\sqrt{25 \cdot 2 \cdot x^{2} \cdot x}$
$=\sqrt{25} \cdot \sqrt{x^{2}} \cdot \sqrt{2x}$
$=5x\sqrt{2x}$
