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\frac{10}{2}\left(\sqrt{2}+\sqrt{3}\right)
Multiply 10 and \frac{1}{2} to get \frac{10}{2}.
5\left(\sqrt{2}+\sqrt{3}\right)
Divide 10 by 2 to get 5.
5\sqrt{2}+5\sqrt{3}
Use the distributive property to multiply 5 by \sqrt{2}+\sqrt{3}.