Question

Solve."TexFormula1" title="2\pi \sqrt{ \frac{ \frac{9}{2} }{32} } " alt="2\pi \sqrt{ \frac{ \frac{9}{2} }{32} } " align="absmiddle" class="latex-formula">

Answer 1

$\bf 2\pi \sqrt{\cfrac{\quad \frac{9}{2}\quad }{32}}\implies 2\pi \sqrt{\cfrac{\quad \frac{9}{2}\quad }{\frac{32}{1}}}\implies 2\pi \sqrt{\cfrac{9}{2}\cdot \cfrac{1}{32}}\implies 2\pi \sqrt{\cfrac{9}{64}} \\\\\\ 2\pi \sqrt{\cfrac{3^2}{8^2}}\implies 2\pi \cdot \cfrac{3}{8}\implies \cfrac{3\pi }{4}$