Question
Find the value of $\frac{21\sqrt{12}}{10\sqrt{27}}.$

Answer

$\frac{21\sqrt{12}}{10\sqrt{27}}$ $=\frac{21\sqrt{4\times3}}{10\sqrt{9\times3}}$ $=\frac{21\times2\sqrt{3}}{10\times3\sqrt{3}}$ $=\frac{7}{5}$

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