asked 86.5k views
5 votes
How do you solve :


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

asked
User Dtyler
by
8.0k points

1 Answer

3 votes


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)}

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