Solve for a
a\in \begin{bmatrix}-2\sqrt{2},2\sqrt{2}\end{bmatrix}
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a^{2}\leq \left(2\sqrt{2}\right)^{2}
Calculate the square root of 8 and get 2\sqrt{2}. Rewrite 8 as \left(2\sqrt{2}\right)^{2}.
|a|\leq 2\sqrt{2}
Inequality holds for |a|\leq 2\sqrt{2}.
a\in \begin{bmatrix}-2\sqrt{2},2\sqrt{2}\end{bmatrix}
Rewrite |a|\leq 2\sqrt{2} as a\in \left[-2\sqrt{2},2\sqrt{2}\right].
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