Evaluate
\frac{1737\sqrt{3}}{4}\approx 752.143063187
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193\times \frac{18\sqrt{3}}{\sqrt{64}}
Factor 972=18^{2}\times 3. Rewrite the square root of the product \sqrt{18^{2}\times 3} as the product of square roots \sqrt{18^{2}}\sqrt{3}. Take the square root of 18^{2}.
193\times \frac{18\sqrt{3}}{8}
Calculate the square root of 64 and get 8.
193\times \frac{9}{4}\sqrt{3}
Divide 18\sqrt{3} by 8 to get \frac{9}{4}\sqrt{3}.
\frac{193\times 9}{4}\sqrt{3}
Express 193\times \frac{9}{4} as a single fraction.
\frac{1737}{4}\sqrt{3}
Multiply 193 and 9 to get 1737.
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