Answer:
[tex]\frac{4}{3}{\sqrt3}[/tex]
Step-by-step explanation:
The question seem incomplete;
The full question is
Which expression is equivalent to 4√6/3√2
Given
4√6/3√2
Required
Find equivalent
[tex]4\sqrt6/3\sqrt2[/tex]
Rewrite Expression
[tex]\frac{4\sqrt6}{3\sqrt2}[/tex]
Expand the above expression
[tex]\frac{4\ *\ \sqrt6}{3\ * \ \sqrt2}[/tex]
Further split the fraction
[tex]\frac{4}{3}\ *\ \frac{\sqrt6}{\sqrt2}[/tex]
Using rule of surds;
[tex]\frac{\sqrt a}{\sqrt b} = \sqrt{\frac{a}{b}}[/tex]
So, the above expression becomes
[tex]\frac{4}{3}\ *\ \sqrt{\frac{6}{2}}[/tex]
[tex]\frac{4}{3}\ *\ {\sqrt3}[/tex]
[tex]\frac{4}{3}{\sqrt3}[/tex]
At this stage, the expression cannot be further simplified;
Hence, 4√6/3√2 = [tex]\frac{4}{3}{\sqrt3}[/tex]