Evaluate
3\sqrt{5}\left(\sqrt{10}+4\right)\approx 48.046019166
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3\sqrt{5}\sqrt{10}+12\sqrt{5}
Use the distributive property to multiply 3\sqrt{5} by \sqrt{10}+4.
3\sqrt{5}\sqrt{5}\sqrt{2}+12\sqrt{5}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
3\times 5\sqrt{2}+12\sqrt{5}
Multiply \sqrt{5} and \sqrt{5} to get 5.
15\sqrt{2}+12\sqrt{5}
Multiply 3 and 5 to get 15.
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