Question

Is the product of a rational and irrational number always irrational give example

Answer 1

take rational no.= 0
irrational no. = 2
= 0 × √2 = 0

so, product of a rational and irrational number always rational when rational no. is 0.

now, 4 × √2= 4√2

so,product of a rational and irrational number always irrational if rational no. is non-zero.

hope this will help you

Answer 2

The product of a rational and irrational number is sometimes rational.

0 × √2 = 0 is a rational number.

The product of a rational and irrational number is irrational.

2 × √5 = 2√5 is an irrational number.

,product of a rational and irrational number always irrational if rational number is not zero.

hope it helps