Evaluate
\frac{6\sqrt{3}}{7}\approx 1.484614978
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\frac{\sqrt{108}}{\sqrt{49}}
Rewrite the square root of the division \sqrt{\frac{108}{49}} as the division of square roots \frac{\sqrt{108}}{\sqrt{49}}.
\frac{6\sqrt{3}}{\sqrt{49}}
Factor 108=6^{2}\times 3. Rewrite the square root of the product \sqrt{6^{2}\times 3} as the product of square roots \sqrt{6^{2}}\sqrt{3}. Take the square root of 6^{2}.
\frac{6\sqrt{3}}{7}
Calculate the square root of 49 and get 7.
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