Question

How do you solve :


`x {}^(2) = (2)/(3)`

Answer 1

`x^2=(2)/(3)\to x=\pm\sqrt{(2)/(3)}\\\\x=-(√(2))/(\sqrt3)\ \vee\ x=(\sqrt2)/(\sqrt3)\\\\x=-(\sqrt2\cdot\sqrt3)/(\sqrt3\cdot\sqrt3)\ \vee\ x=(\sqrt2\cdot\sqrt3)/(\sqrt3\cdot\sqrt3)\\\\\boxed{x=-(\sqrt6)/(3)\ \vee\ x=(\sqrt6)/(3)}`