Question

find two consecutive whole numbers that \\(\sqrt{5}\\) lies between.

Explanation:

Step1: Identify perfect squares around 5

We know that \(2^2 = 4\) and \(3^2 = 9\).

Step2: Compare with \(\sqrt{5}\)

Since \(4 < 5 < 9\), taking square roots (and since square root is an increasing function), we get \(\sqrt{4} < \sqrt{5} < \sqrt{9}\), which simplifies to \(2 < \sqrt{5} < 3\).

Answer:

2 and 3