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10\sqrt{6}\sqrt{10}
Divide 30\sqrt{6} by 3 to get 10\sqrt{6}.
10\sqrt{60}
To multiply \sqrt{6} and \sqrt{10}, multiply the numbers under the square root.
10\times 2\sqrt{15}
Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.
20\sqrt{15}
Multiply 10 and 2 to get 20.