Question

Please help me because I got the answer wrong. ​

Answer 1

`\cfrac{1}{3}x^2~~ = ~~\cfrac{4}{27}\implies \cfrac{x^2}{3}~~ = ~~\cfrac{4}{27}\implies x^2=\cfrac{(3)4}{27}\implies x^2=\cfrac{12}{27} \implies x=\pm\sqrt{\cfrac{12}{27}} \\\\\\ x=\pm\cfrac{√(12)}{√(27)} \implies x=\pm\cfrac{√(2^2\cdot 3)}{√(3^2\cdot 3)}\implies x=\pm\cfrac{2√(3)}{3√(3)}\implies x=\pm\cfrac{2}{3}`