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\sqrt{48\times 5\times 8}
Multiply 16 and 3 to get 48.
\sqrt{240\times 8}
Multiply 48 and 5 to get 240.
\sqrt{1920}
Multiply 240 and 8 to get 1920.
8\sqrt{30}
Factor 1920=8^{2}\times 30. Rewrite the square root of the product \sqrt{8^{2}\times 30} as the product of square roots \sqrt{8^{2}}\sqrt{30}. Take the square root of 8^{2}.