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2\sqrt{13}\sqrt{3}-5\sqrt{13}-4\sqrt{3}+10-16
Apply the distributive property by multiplying each term of \sqrt{13}-2 by each term of 2\sqrt{3}-5.
2\sqrt{39}-5\sqrt{13}-4\sqrt{3}+10-16
To multiply \sqrt{13} and \sqrt{3}, multiply the numbers under the square root.
2\sqrt{39}-5\sqrt{13}-4\sqrt{3}-6
Subtract 16 from 10 to get -6.