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.


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