Evaluate
6\sqrt{5}\approx 13.416407865
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\sqrt{3}\sqrt{3}\sqrt{5}+\sqrt{3}\sqrt{15}
Factor 15=3\times 5. Rewrite the square root of the product \sqrt{3\times 5} as the product of square roots \sqrt{3}\sqrt{5}.
3\sqrt{5}+\sqrt{3}\sqrt{15}
Multiply \sqrt{3} and \sqrt{3} to get 3.
3\sqrt{5}+\sqrt{3}\sqrt{3}\sqrt{5}
Factor 15=3\times 5. Rewrite the square root of the product \sqrt{3\times 5} as the product of square roots \sqrt{3}\sqrt{5}.
3\sqrt{5}+3\sqrt{5}
Multiply \sqrt{3} and \sqrt{3} to get 3.
6\sqrt{5}
Combine 3\sqrt{5} and 3\sqrt{5} to get 6\sqrt{5}.
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