No, √5 is not a rational number; it is an irrational number.
The reference material provided states that "a decimal number that does not terminate after the decimal point is also an irrational number." It also specifies that "the value obtained for the root of 5 does not terminate and keeps extending further after the decimal point."
Therefore, based on this information, √5 is definitively an irrational number because its decimal representation is non-terminating.
Here's a summary in table form:
| Property | √5 | Rational Number |
|---|---|---|
| Decimal Representation | Non-terminating | Terminating or Repeating |
| Type of Number | Irrational | Rational |
Rational numbers can be expressed as a fraction p/q, where p and q are integers and q is not zero. Because the decimal representation of √5 is non-terminating and non-repeating, it cannot be expressed in this form.
