Question
Evaluate $\frac{\sqrt{48}}{\sqrt{243}}$

Answer

$\frac{\sqrt{48}}{\sqrt{243}}$ $=\sqrt{\frac{48}{243}}$ $=\sqrt{\frac{2\times2\times2\times2\times3}{3\times3\times3\times3\times3}}$ $=\frac{\sqrt{2\times2\times2\times2}}{\sqrt{3\times3\times3\times3}}$ $=\frac{2\times2}{3\times3}$ $=\frac{4}{9}$

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