Evaluate
\frac{7\sqrt{3}}{5}\approx 2.424871131
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\frac{9}{10}\sqrt{3}+\frac{1}{4}\sqrt{12}
Combine \frac{1}{2}\sqrt{3} and \frac{2}{5}\sqrt{3} to get \frac{9}{10}\sqrt{3}.
\frac{9}{10}\sqrt{3}+\frac{1}{4}\times 2\sqrt{3}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
\frac{9}{10}\sqrt{3}+\frac{2}{4}\sqrt{3}
Multiply \frac{1}{4} and 2 to get \frac{2}{4}.
\frac{9}{10}\sqrt{3}+\frac{1}{2}\sqrt{3}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{7}{5}\sqrt{3}
Combine \frac{9}{10}\sqrt{3} and \frac{1}{2}\sqrt{3} to get \frac{7}{5}\sqrt{3}.
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