Which of the following is an irrational number?

Irrational numbers are real numbers that cannot be represented as simple fractions. These cannot be expressed in the form of a ratio, such as $\frac{\mathrm{p}}{\mathrm{q}}$ where p and q are integers, q ≠ 0. It is a contradiction of rational numbers.

Also, the decimal expansion of an irrational number is neither terminating nor repeating.

Given below are the few specific irrational numbers that are commonly used:

• π(pi) is an irrational number. π = 3⋅14159265… The decimal value never stops at any point. Since the value of ㄫ is closer to the fraction $\frac{22}{7}$, we take the value of pi as $\frac{22}{7}$ or 3.14 (Note: $\frac{22}{7}$ is a rational number.)
• Euler's number e is an irrational number. e=2⋅718281⋅⋅⋅⋅
• Golden ratio, φ = 1.61803398874989….