Question

Square of an irrational number is always a rational number.

• A. True
• B. False

Answer 1

The correct option is B

False

Square of an irrational number is not always a rational number. For example let us consider an irrational numbmer: $1+\sqrt{2}$

So, $(1+\sqrt{2}{)}^2=1^2+{\sqrt{2}}^2+2\times 1\times \sqrt{2}=1+2+2\sqrt{2}=3+2\sqrt{2}$ which is an irrational number.

Thus, the given statement is False.