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1\sqrt{3}\times 2\sqrt{2}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
2\sqrt{3}\sqrt{2}
Multiply 1 and 2 to get 2.
2\sqrt{6}
To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.