Ram Chandra Solutions for Chapter: Real Numbers, Exercise 3: Enrichment Exercise

Every integer is a natural number.

Every rational number is a whole number.

Every rational number is an irrational number.

$\sqrt{2}$ is an irrational number. It can be represented on a number line. Can it be represented exactly as a fraction $\frac{a}{b}$ ? (Yes/No)

Is ‘ $0$’ an irrational number? Write the final answer as Yes or No.

Is $-1$ a rational number? (Write Yes/No)

Is the square of an irrational number always rational? Write the final answer as Yes or No.

Are the fifth roots of all positive integers irrational? (Yes $/$ No)