[tex]5.2 \ \textless \ x \ \textless \ 5.5 \\ \\ \sqrt{5.2^2} \ \textless \ \sqrt{x^2} \ \textless \ \sqrt{5.5^2} \\ \\ \sqrt{27.04} \ \textless \ \sqrt{x^2} \ \textless \ \sqrt{30.25}[/tex]
Let x^2 be any whole number between 27.04 and 30.25.
[tex]x^2 = 29 \\ \\ x = \sqrt{29}[/tex]
