$$t=(2^{-\frac{3}{4}}+\frac{5}{6})^{-1}$$
$t=\frac{270\sqrt{2}+750-162\times 2^{\frac{3}{4}}-450\sqrt[4]{2}}{463}\approx 0.700311062$
$t≔\frac{270\sqrt{2}+750-162\times 2^{\frac{3}{4}}-450\sqrt[4]{2}}{463}$
