Question

Can we get a rational number by multiplying two irrational number

Answer 1

No, we cannot get rational number after multiplying two different irrational numbers but if we multiply the same irrational numbers then we can get rational numbers.

For different irrational numbers after multiplying :

√2 × √3 = √2×3 = √6

For same irrational numbers after multiplying :

√3 × √3 = √3×3 = 3