Correct answer: an irrational number
Explanation:
A rational number can be expressed as a fraction of two integers (like p/q).
\(\sqrt{2}\) cannot be written as an exact fraction and its decimal expansion is non-terminating and non-repeating.
So, \(\sqrt{2}\) is an irrational number.
Prove that $7\sqrt{5}$ is an irrational number.
Prove that $6\sqrt{3}$ is irrational.