Evaluate
6\sqrt{5}\approx 13.416407865
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\sqrt{10}\times 3\sqrt{2}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
\sqrt{2}\sqrt{5}\times 3\sqrt{2}
Factor 10=2\times 5. Rewrite the square root of the product \sqrt{2\times 5} as the product of square roots \sqrt{2}\sqrt{5}.
2\times 3\sqrt{5}
Multiply \sqrt{2} and \sqrt{2} to get 2.
6\sqrt{5}
Multiply 2 and 3 to get 6.
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