\[\frac{20\sqrt{6}}{5\sqrt{2}}\]
1
Rationalize the denominator: 20652⋅22=20625×2\frac{20\sqrt{6}}{5\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{20\sqrt{6}\sqrt{2}}{5\times 2}.
20625×2\frac{20\sqrt{6}\sqrt{2}}{5\times 2}

2
Simplify  206220\sqrt{6}\sqrt{2}  to  201220\sqrt{12}.
20125×2\frac{20\sqrt{12}}{5\times 2}

3
Simplify  12\sqrt{12}  to  232\sqrt{3}.
20×235×2\frac{20\times 2\sqrt{3}}{5\times 2}

4
Simplify  20×2320\times 2\sqrt{3}  to  40340\sqrt{3}.
4035×2\frac{40\sqrt{3}}{5\times 2}

5
Simplify  5×25\times 2  to  1010.
40310\frac{40\sqrt{3}}{10}

6
Simplify.
434\sqrt{3}

Done

Decimal Form: 6.928203
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