Evaluate
24\sqrt{5}\approx 53.66563146
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6\sqrt{5}+2\times 3\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}.
6\sqrt{5}+2\times 3\times 3\sqrt{5}
Multiply \sqrt{3} and \sqrt{3} to get 3.
6\sqrt{5}+6\times 3\sqrt{5}
Multiply 2 and 3 to get 6.
6\sqrt{5}+18\sqrt{5}
Multiply 6 and 3 to get 18.
24\sqrt{5}
Combine 6\sqrt{5} and 18\sqrt{5} to get 24\sqrt{5}.
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