Answer:
C
Step-by-step explanation:
Using the rules of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and
[tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Given
[tex]\frac{\sqrt{2a} }{\sqrt{3} }[/tex]
Multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]
= [tex]\frac{\sqrt{2a} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{\sqrt{2a(3)} }{3}[/tex] = [tex]\frac{\sqrt{6a} }{3}[/tex]
