Answer:
Choice A. [tex]\frac{7\sqrt{x}}{6}[/tex] is the correct choice.
Step-by-step explanation:
Given expression for the quotient is [tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex].
Now we need to find the equivalent choice of [tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex].
So let's find that by rewriting them inside same radical
[tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex]
[tex]=\sqrt{\frac{98x^3}{72x^2}}[/tex]
[tex]=\sqrt{\frac{49x^3}{36x^2}}[/tex]
[tex]=\sqrt{\frac{49x}{36}}[/tex]
[tex]=\frac{7\sqrt{x}}{6}[/tex]
Hence choice A. [tex]\frac{7\sqrt{x}}{6}[/tex] is the correct choice.
