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\sqrt{300\times 8\times 5}
Multiply 25 and 12 to get 300.
\sqrt{2400\times 5}
Multiply 300 and 8 to get 2400.
\sqrt{12000}
Multiply 2400 and 5 to get 12000.
20\sqrt{30}
Factor 12000=20^{2}\times 30. Rewrite the square root of the product \sqrt{20^{2}\times 30} as the product of square roots \sqrt{20^{2}}\sqrt{30}. Take the square root of 20^{2}.