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2\sqrt{2}\sqrt{3}+2\sqrt{2}\sqrt{5}
Use the distributive property to multiply 2\sqrt{2} by \sqrt{3}+\sqrt{5}.
2\sqrt{6}+2\sqrt{2}\sqrt{5}
To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.
2\sqrt{6}+2\sqrt{10}
To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.