The product of two irrational numbers is a/an
The product of two irrational numbers will be either a rational or an irrational number.
Consider the following example: (√3+√2)×(√3−√2)=1.
Both (√3+√2) and (√3−√2) are irrational numbers and their product is 1.
1 is an integer and since, all integers are rational numbers as well, we can infer that product of two irrational numbers may be an integer, a rational number or an irrational number and they are all real numbers.
When we multiply the irrational numbers √2 and √3, we get √6, which is also an irrational number.