Question

Which choice is equivalent to the quotient shown here when x > 0?A.B.C.2xD.

Answer 1

Given:

`√(14x^3)\text{ }/√(7x)`

Required:

To calculate which option is correct

Step-by-step explanation:

`\begin{gathered} √(14x^3)\text{ }/√(7x)\text{ \lparen x>0\rparen} \\ \\ \sqrt{(14x^3)/(7x)\text{ }}\text{ }\sqrt{a\text{ }}\text{ }/√(b)\text{ =}\sqrt{(a)/(b)} \\ \\ √(2x^2) \\ \\ x√(2) \\ \end{gathered}`

Required answer:

Option D