Remove parentheses.
\[{(\frac{\sqrt{2}}{{\sqrt{3}}^{2}-\frac{1}{\frac{1}{2}}})}^{2}\]
Use this rule: \({\sqrt{x}}^{2}=x\).
\[{(\frac{\sqrt{2}}{3-\frac{1}{\frac{1}{2}}})}^{2}\]
Invert and multiply.
\[{(\frac{\sqrt{2}}{3-2})}^{2}\]
Simplify \(3-2\) to \(1\).
\[{(\frac{\sqrt{2}}{1})}^{2}\]
Simplify \(\frac{\sqrt{2}}{1}\) to \(\sqrt{2}\).
\[{\sqrt{2}}^{2}\]
Use this rule: \({\sqrt{x}}^{2}=x\).
\[2\]
2
