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3\sqrt{5}\left(-2\right)\sqrt{5}\sqrt{2}
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\left(-2\right)\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
15\left(-2\right)\sqrt{2}
Multiply 3 and 5 to get 15.
-30\sqrt{2}
Multiply 15 and -2 to get -30.