Given:
[tex]\sqrt{14x^3}\text{ }\div\sqrt{7x}[/tex]Required:
To calculate which option is correct
Explanation:
[tex]\begin{gathered} \sqrt{14x^3}\text{ }\div\sqrt{7x}\text{ \lparen x>0\rparen} \\ \\ \sqrt{\frac{14x^3}{7x}\text{ }}\text{ }\sqrt{a\text{ }}\text{ }\div\sqrt{b}\text{ =}\sqrt{\frac{a}{b}} \\ \\ \sqrt{2x^2} \\ \\ x\sqrt{2} \\ \end{gathered}[/tex]Required answer:
Option D