Given the following inequality
[tex]\begin{gathered} \tan ^2(x)>\sqrt[]{5} \\ x\in\lbrack-\pi,\pi\rbrack \\ \end{gathered}[/tex]We need to check if x=0.981 is a solution.
This value is inside of the range, then, we just need to evaluate.
[tex]\tan ^2(0.981)\approx2.2325919107[/tex]Calculating the square root of 5:
[tex]\sqrt[]{5}\approx2.2360679775[/tex]From this, we know that the statement is false, because
[tex]\tan ^2(0.981)<\sqrt[]{5}[/tex]