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