Question

let a be a rational number and b be an irrational number is the product of a and b be necessary an irrational number justify your answer with an example

Answer 1

Cosider a = 2 (rational number)

and b = √2 (irrational number)

2 x √2 = 2√2 which is also an irrational number because 2√2 is non terminating and non recurring.