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\sqrt{2880\times 8}
Multiply 48 and 60 to get 2880.
\sqrt{23040}
Multiply 2880 and 8 to get 23040.
48\sqrt{10}
Factor 23040=48^{2}\times 10. Rewrite the square root of the product \sqrt{48^{2}\times 10} as the product of square roots \sqrt{48^{2}}\sqrt{10}. Take the square root of 48^{2}.