Evaluate
\frac{7\sqrt{3}}{2}\approx 6.062177826
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\sqrt{3}+\frac{5\sqrt{3}}{2}
Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3} as the product of square roots \sqrt{5^{2}}\sqrt{3}. Take the square root of 5^{2}.
\frac{7}{2}\sqrt{3}
Combine \sqrt{3} and \frac{5\sqrt{3}}{2} to get \frac{7}{2}\sqrt{3}.
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