Question

determine whether \\(\sqrt{28}\\) is rational, irrational, or not a real number. evaluate
places.

is \\(\sqrt{28}\\) rational, irrational, or not a real number?

rational

irrational

not a real number

Explanation:

⚡ Using what you learned: Real Number System Overview

Step 1: Analyze the radicand

The number inside the square root is \(28\). Since \(28 \ge 0\), its square root \(\sqrt{28}\) is a real number.

Step 2: Determine if it is a perfect square

Check if \(28\) is a perfect square of an integer:

$$ 5^2 = 25 $$

$$ 6^2 = 36 $$

Since \(28\) lies between \(25\) and \(36\), it is not a perfect square. The square root of any positive integer that is not a perfect square is an irrational number.

Answer:

irrational