Evaluate
\frac{20\sqrt{3}}{7}\approx 4.948716593
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\sqrt{\frac{1200}{49}}
Expand \frac{120}{4.9} by multiplying both numerator and the denominator by 10.
\frac{\sqrt{1200}}{\sqrt{49}}
Rewrite the square root of the division \sqrt{\frac{1200}{49}} as the division of square roots \frac{\sqrt{1200}}{\sqrt{49}}.
\frac{20\sqrt{3}}{\sqrt{49}}
Factor 1200=20^{2}\times 3. Rewrite the square root of the product \sqrt{20^{2}\times 3} as the product of square roots \sqrt{20^{2}}\sqrt{3}. Take the square root of 20^{2}.
\frac{20\sqrt{3}}{7}
Calculate the square root of 49 and get 7.
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