Answer:
Given that,
[tex](\frac{4}{3})(\frac{\sqrt[]{6}}{2})[/tex]
Simplifying this we get,
[tex]=\frac{2}{3}\sqrt[]{6}[/tex]
we know that,
The numbers which are not a rational number are called irrational numbers.
Irrational numbers have endless non-repeating digits after the decimal point.
we get that,
[tex]\sqrt[]{6}\text{ is an irrational number.}[/tex]
Hence,
[tex]\frac{2}{3}\sqrt[]{6}\text{ is an irrational}[/tex]
Answer is: option c: irrational
