Evaluate
6\sqrt{10}\approx 18.973665961
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\frac{9\times 2\sqrt{5}}{3}\sqrt{2}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
\frac{18\sqrt{5}}{3}\sqrt{2}
Multiply 9 and 2 to get 18.
6\sqrt{5}\sqrt{2}
Divide 18\sqrt{5} by 3 to get 6\sqrt{5}.
6\sqrt{10}
To multiply \sqrt{5} and \sqrt{2}, multiply the numbers under the square root.
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