Q3 of 96 Page 6

State whether the following statements are true or false? Justify your answer.
is not a rational number as √12 and √3 are not integers.

False

Justification:

Thus, on simplifying, it turns out to be a rational number.

∴ The given statement is false.

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

There are numbers which cannot be written in the form , ≠ 0, p, q both are integers.

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

The square of an irrational number is always rational.

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