$$2 \frac{ 1 }{ 3 } 82 \sqrt{ 138 } \div { 2 }^{ 2 }$$
$\frac{287\sqrt{138}}{6}\approx 561.914435954$
$$\frac{82\times \frac{6+1}{3}\sqrt{138}}{2^{2}}$$
$$\frac{82\times \frac{7}{3}\sqrt{138}}{2^{2}}$$
$$\frac{\frac{82\times 7}{3}\sqrt{138}}{2^{2}}$$
$$\frac{\frac{574}{3}\sqrt{138}}{2^{2}}$$
$$\frac{\frac{574}{3}\sqrt{138}}{4}$$
$$\frac{287}{6}\sqrt{138}$$
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