State whether the following statements are true or false? Justify your answer.
The square of an irrational number is always rational.

Question

State whether the following statements are true or false? Justify your answer. The square of an irrational number is always rational.

Philoid · Accepted Answer

False

Justification:

Consider the irrational number x =

Then x² = √3, which is again an irrational number.

∴ The given statement is false.

State whether the following statements are true or false? Justify your answer.The square of an irrational number is always rational.