Question

Choose all the options that describe the result of the multiplication

a. integer
b. rational
c. irrational

Answer 1

Option: c is the correct answer.

c. irrational.

Explanation:

On multiplying the two terms as follows:

`(4)/(3)* (√(6))/(2)\\\\\\=(4√(6))/(6)\\\\\\=(4)/(√(6))\\\\\\=(2√(2))/(√(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.