which number is rational?\n√2\nπ\n√10\n√16

Explanation:

Step1: Recall rational number definition

A rational number can be written as a fraction $\frac{p}{q}$ where $p,q$ are integers and $q\neq0$. Also, perfect - square square - roots are rational.

Step2: Analyze each option

• $\sqrt{2}$ is an irrational number. It cannot be written as a fraction of two integers.
• $\pi$ is an irrational number. It has a non - repeating, non - terminating decimal expansion.
• $\sqrt{10}$ is an irrational number since 10 is not a perfect square.
• $\sqrt{16}=4$, and $4=\frac{4}{1}$, which is a fraction of two integers. So $\sqrt{16}$ is rational.

Answer:

$\sqrt{16}$