Rational and Irrational Numbers

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

$$\frac{\text{sqrt}{2}}{1}$$ is an example of an irrational number.

The decimal representation of an irrational number never ends and never repeats.

Yes, $$\frac{3}{8}$$ is a rational number because it can be expressed as a fraction.

$$\text{sqrt}{2}$$ is considered irrational because it cannot be expressed as a fraction of two integers.

$$\text{pi}$$ (π) is an irrational number.

$$\text{sqrt}{25}$$ is a rational number because it equals 5.

A perfect square is a number that can be expressed as the square of an integer.

$$\text{sqrt}{45}$$ is irrational because it cannot be simplified to a fraction.