Answer:
D
Step-by-step explanation:
Using the rule of radicals
[tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex]
Given
[tex]\frac{14\sqrt{14} }{7\sqrt{2} }[/tex] ← cancel 14 and 7
= 2 × [tex]\sqrt{\frac{14}{2} }[/tex]
= 2[tex]\sqrt{7}[/tex] → D
