Question

Can we get an irrational number by multiplying two rational number​

Answer 1

Answer:

The product of two irrational numbers is SOMETIMES irrational." The product of two irrational numbers, in some cases, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product.

Answer 2

Answer:

"The product of $2$ rational numbers is always a rational number."

Step-by-step explanation:

The operation of multiplication is closed for rational numbers. Hence, the product of two rational will always be a rational number. Therefore it is impossible to get an irrational number as the product.

Closure property for multiplication:

According to the closure property, $x*y$ is also a rational number for any pair of two rational numbers, $x,y$.