Question

Choose all the options that describe the result of the multiplication

Answer 1

A, B and c are all answers

Answer 2

Answer:

Option: c is the correct answer.

         c.  irrational.

Step-by-step explanation:

On multiplying the two terms as follows:

$\dfrac{4}{3}\times \dfrac{\sqrt{6}}{2}\\\\\\=\dfrac{4\sqrt{6}}{6}\\\\\\=\dfrac{4}{\sqrt{6}}\\\\\\=\dfrac{2\sqrt{2}}{\sqrt{3}}$

As we could observe that the result of the multiplication contain a square root term.

Hence, the number is not an integer.

Also, it is not an rational number.

( Since its decimal expansion is non-terminating)

Hence, the answer is: It is an irrational number.