Which of the following is true for anirrational number?

Correct option is C

Definition of an Irrational Number:

An irrational number is a number that cannot be expressed as a fraction $$\frac{p}{q}$$​ , where p and q are integers and q $$\neq$$​ 0 .

Decimal Representation of Irrational Numbers:

- A) Terminating Decimal:
Irrational numbers never have a terminating decimal form (e.g., 0.5, 0.25).

- B) Non-terminating Recurring Decimal:
Numbers with repeating patterns (like $$\frac{1}{3} = 0.\overline{3}$$​ ) are rational.

- C) Non-terminating Non-repeating Decimal:
Irrational numbers have a non-terminating, non-repeating decimal expansion.
Examples:
- $$\pi$$​ = 3.1415926535... (never ends, no pattern)
- $$\sqrt{2}$$​ = 1.41421356...

- D) None of These:
The correct condition is covered by option C.

Final Answer:

C) The decimal form is non-terminating non-repeating.