Question

Square root of a rational number is also a rational number.

• A. True
• B. False

Answer 1

The correct option is B

False

A rational number is a number which can be written in the form of $\frac{p}{q}$ i.e. ratio of two integers where $q\ne 0$.
Whereas an irrational number cannot be written in the form of $\frac{p}{q}$, where $q\ne 0$ or in other words are not rational numbers.
Non-recurring non-terminating decimals are an irrational number.
2 is a rational number but square root of 2 is non-recurring non-terminating decimals and is not a rational number.

Hence, it is not always true that square root of a rational number is also a rational number.