Question

Which choice is equivalent to the quotient shown here when x > 0?

Answer 1

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

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

$(\sqrt{\frac{42}{6}})(\frac{x^{\frac{5}{2}}}{x^{\frac{3}{2}}})$

2. Simplify and by applying the exponents properties, you can substract the exponents of the variables $x$:

$x\sqrt{7}$

Therefore the answer is the option D: D. $x\sqrt{7}$