Question

There exist a rational number whose product is a whole number. True or false?

Answer 1

Multiplying two rational numbers produces another rational number.i.e given

$\frac{a} {b}$ $×\frac{a} {b}$ =$(\frac{a} {b}) ^{2}$.

Then all whole numbers are rationals but not all rational numbers are whole numbers, hence there does not exist a rational number whose product is a whole number.