Answer
$\frac{\sqrt3}{2}$
Work Step by Step
$\frac{3}{\sqrt[4] {144}}=\frac{3}{\sqrt[4] {2^43^2}}=\frac{3}{\sqrt[4] {2^4}\sqrt[4]{3^2}}=\frac{3}{2\sqrt{3}}=\frac{\sqrt3}{2}$
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