Question

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

Answer 1

Answer:

B

Step-by-step explanation:

step 1 - rationalize the denominator to get:

$\sqrt{35x^5}$ ÷ $\sqrt{7x^3}$  =  ($\sqrt{245}$ ·x^5/2·x^3/2) ÷ 7x³

= ($\sqrt{5}$$\sqrt{7}$$\sqrt{7}$·x^4) ÷ 7x³

= 7$\sqrt{5}$·x^4 ÷ 7x³

= $\sqrt{5}$x