Question

Is the product of two irrational alway irrational justify your answer

Answer 1

Hey

Here is your answer,

No , the product of two irrational is always irrational.Here

For example,

√2 x √2 = 2
Here , the product of two irrational numbers are rational.

√2 x √3 = √6
Here , the product of two irrational numbers are irrational .

Hope it helps you!

Answer 2

The product of two irrationals can be rational as well as irrational. For example
when we multiply under root 2 and pi as they both are irrational we get the answer 4.44288 which is irrational
but when we multiply under root 2 with under root 17 the answer we get is 5.83095 which is rational.