Question

complete the following statement. use the integers that are closest to the number in the middle.
□ < √22 < □

Explanation:

Step1: Find perfect squares around 22

We know that \(4^2 = 16\) and \(5^2 = 25\). Also, \(16<22<25\).

Step2: Take square roots

Taking square roots of all parts of the inequality \(16 < 22 < 25\), we get \(\sqrt{16}<\sqrt{22}<\sqrt{25}\). Since \(\sqrt{16} = 4\) and \(\sqrt{25}=5\), we have \(4 < \sqrt{22}<5\).

Answer:

\(4 < \sqrt{22}<5\) (So the first box is 4 and the second box is 5)