Respuesta :

To solve this problem you must apply the proccedure shown below:

1. You can rewrite the expression given in the figure attached, as following:

[tex] (\sqrt{\frac{42}{6}})(\frac{x^{\frac{5}{2}}}{x^{\frac{3}{2}}})


[/tex]

2. Simplify and by applying the exponents properties, you can substract the exponents of the variables [tex] x [/tex]:

[tex] x\sqrt{7} [/tex]

Therefore the answer is the option D: D. [tex] x\sqrt{7} [/tex]