Question

Simplify the expresion ormula1" title=" \sqrt[4]{3. \sqrt[4]{432} } " alt=" \sqrt[4]{3. \sqrt[4]{432} } " align="absmiddle" class="latex-formula">

Answer 1

$\sqrt[4]{3. \sqrt[4]{432}}$
= $\sqrt[4]{3. \sqrt[4]{2^4.3^3} }$
= $\sqrt[4]{3.2.3^\frac{3}{4}}$
= $3^\frac{1}{4}.2^\frac{1}{4}.3^\frac{3}{16}$
= $3^\frac{7}{16}.2^\frac{1}{4}$