Question

an example to show that the product of a rational number and irrational number may be a rational number

Answer 1

lets assume √4 irrational and 8 rational
then
by multiplication we get...8√4
or, √ 2×2×2×2×2×2×4
or, √2×2×2×2×2×2×2×2
or, √4×4×4×4
gives..16 which is rational.

Answer 2

Hello buddy...

Why to go beyond just keep calm and check out this answer..

A rational number 0 when multiplied by an irrational number gives the irrational number 0...

The irrational number may be in decimal form or of your choice...

Hope it helps you buddy