Evaluate
\frac{7\sqrt{3}}{12}\approx 1.010362971
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\frac{\frac{\sqrt{3675}}{\sqrt{4}}}{30}
Rewrite the square root of the division \sqrt{\frac{3675}{4}} as the division of square roots \frac{\sqrt{3675}}{\sqrt{4}}.
\frac{\frac{35\sqrt{3}}{\sqrt{4}}}{30}
Factor 3675=35^{2}\times 3. Rewrite the square root of the product \sqrt{35^{2}\times 3} as the product of square roots \sqrt{35^{2}}\sqrt{3}. Take the square root of 35^{2}.
\frac{\frac{35\sqrt{3}}{2}}{30}
Calculate the square root of 4 and get 2.
\frac{35\sqrt{3}}{2\times 30}
Express \frac{\frac{35\sqrt{3}}{2}}{30} as a single fraction.
\frac{7\sqrt{3}}{2\times 6}
Cancel out 5 in both numerator and denominator.
\frac{7\sqrt{3}}{12}
Multiply 2 and 6 to get 12.
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Limits
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