Evaluate
3\sqrt{15}\left(\sqrt{10}+4\right)\approx 83.218146296
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3\sqrt{15}\sqrt{10}+12\sqrt{15}
Use the distributive property to multiply 3\sqrt{15} by \sqrt{10}+4.
3\sqrt{150}+12\sqrt{15}
To multiply \sqrt{15} and \sqrt{10}, multiply the numbers under the square root.
3\times 5\sqrt{6}+12\sqrt{15}
Factor 150=5^{2}\times 6. Rewrite the square root of the product \sqrt{5^{2}\times 6} as the product of square roots \sqrt{5^{2}}\sqrt{6}. Take the square root of 5^{2}.
15\sqrt{6}+12\sqrt{15}
Multiply 3 and 5 to get 15.
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