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4\sqrt{2}\sqrt{5}\left(-3\right)\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}.
4\times 2\left(-3\right)\sqrt{5}
Multiply \sqrt{2} and \sqrt{2} to get 2.
8\left(-3\right)\sqrt{5}
Multiply 4 and 2 to get 8.
-24\sqrt{5}
Multiply 8 and -3 to get -24.