. The product of any two irrational numbers
A: Is always an irrational number
B: Is always a rational number
C: Is always an integer
D: Can be rational or irrational
The set of irrational numbers is formed by all numbers that cannot be expressed as the ratio between two integers.
The product of two irrational numbers can be rational or irrational depending on the two numbers.
For example, √3 ×√3=3 where √3 is irrational and their product 3 is rational.
Also, √2 ×√3= √6 where √2 and √3 is irrational and their product √6 is irrational.
Hence, the correct option is (D) can be rational or irrational.