Question

1. is the number \\(\sqrt{2,500}\\) rational or irrational? explain.

Explanation:

Step1: Calculate the square root

We need to find the value of $\sqrt{2500}$. We know that $50\times50 = 2500$, so $\sqrt{2500}=50$.

Step2: Determine if it's rational

A rational number is a number that can be expressed as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q
eq0$. Since $50=\frac{50}{1}$, where $50$ and $1$ are integers and $1
eq0$, $50$ is a rational number.

Answer:

The number $\sqrt{2500}$ is rational. Because $\sqrt{2500} = 50$, and $50$ can be written as $\frac{50}{1}$ (where $50$ and $1$ are integers and the denominator $1
eq0$), so it satisfies the definition of a rational number.