State whether the following statements are true or false? Justify your answer.

is a rational number.

False

is not a rational number.

Justification: We can write as .

Here, √2 is irrational and 1/3 is rational number.

Product of a rational and an irrational number is always irrational.

∴ is irrational.

Hence, it is not rational and thus the given statement is false.