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\sqrt{8}\sqrt{20}\sqrt{8}\sqrt{6}
Factor 48=8\times 6. Rewrite the square root of the product \sqrt{8\times 6} as the product of square roots \sqrt{8}\sqrt{6}.
8\sqrt{20}\sqrt{6}
Multiply \sqrt{8} and \sqrt{8} to get 8.
8\times 2\sqrt{5}\sqrt{6}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
16\sqrt{5}\sqrt{6}
Multiply 8 and 2 to get 16.
16\sqrt{30}
To multiply \sqrt{5} and \sqrt{6}, multiply the numbers under the square root.