Question

The product of non-zero rationalwith
and 'an irrational number is always
ignational​

Answer 1

Step-by-step explanation:

Product of non-zero rational number and an irrational number is always irrational.

Suppose a is rational (and non-zero) and x is irrational. Suppose ax is rational;

write ax = b where b is rational.

Then x = b/a, and x would be rational, contradiction. Hence the product is always irrational.