\(\frac{(x + 2)^{3}}{4} = 27\)
\(4(\frac{(x + 2)^{3}}{4}) = 4(27)\) Multiply it by 4 on each side.
\((x^{2} + 2)^{3} = 108\)
\(\sqrt[3]{(x^{2} + 2)^{3}} = \sqrt[3]{108}\) Find the cube root of each.
\(x^{2} + 2 \approx 4.76\)
\(x^{2} \approx 2.76\) Subtract 2 from each side.
\(\sqrt{x^{2}} \approx \sqrt{2.76}\) Find the square root of each.
\(x \approx \±2.76\)