Product of a rational and an irrational number is always rational.
False
The product of a rational and irrational number can be both rational or irrational.
The product of a non-zero rational number and an irrational number is always an irrational number.
For example, 2×√2=2√2,
But, the product of zero and an irrational number is always zero.
For example, 0×√2=0 which is rational.