Answer:
[tex]\Large \boxed{\bold{D.} \ \frac{5 \sqrt{x} } {4}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{\sqrt{50x^3 }}{\sqrt{32x^2 } }[/tex]
Distributing the square root.
[tex]\displaystyle \frac{\sqrt{50} \sqrt{x^3 } } {\sqrt{32} \sqrt{x^2 }}[/tex]
Simplifying the expression.
[tex]\displaystyle \frac{5 \cdot \sqrt{2} \cdot x \cdot \sqrt{x} } {4 \cdot \sqrt{2} \cdot x}[/tex]
Cancelling the square root of 2 and x on both the numerator and the denominator.
[tex]\displaystyle \frac{5 \cdot \sqrt{x} } {4}[/tex]
