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\sqrt{2}\sqrt{5}+3\sqrt{2}\sqrt{3}+3\sqrt{5}+9\sqrt{3}
Apply the distributive property by multiplying each term of \sqrt{2}+3 by each term of \sqrt{5}+3\sqrt{3}.
\sqrt{10}+3\sqrt{2}\sqrt{3}+3\sqrt{5}+9\sqrt{3}
To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.
\sqrt{10}+3\sqrt{6}+3\sqrt{5}+9\sqrt{3}
To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.