The product of two irrational numbers can be rational or irrational depending on the two numbers. For example, √3×√3 is 3 which is a rational number whereas √2×√4​ is √8​ which is an irrational number. As √3,√2,√4 are irrational.

Step-by-step explanation:

example of two irrational numbers such that product is rational - root 3 * root 3 = root 9 = 3

example of two irrational numbers such that product is irrational - root 5 * root 3 = root 15