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\left(\sqrt{5}\right)^{2}+2\sqrt{5}+\sqrt{3}\sqrt{5}+2\sqrt{3}
Apply the distributive property by multiplying each term of \sqrt{5}+\sqrt{3} by each term of \sqrt{5}+2.
5+2\sqrt{5}+\sqrt{3}\sqrt{5}+2\sqrt{3}
The square of \sqrt{5} is 5.
5+2\sqrt{5}+\sqrt{15}+2\sqrt{3}
To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.