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\sqrt{5}\sqrt{3}+2\left(\sqrt{5}\right)^{2}
Use the distributive property to multiply \sqrt{5} by \sqrt{3}+2\sqrt{5}.
\sqrt{15}+2\left(\sqrt{5}\right)^{2}
To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.
\sqrt{15}+2\times 5
The square of \sqrt{5} is 5.
\sqrt{15}+10
Multiply 2 and 5 to get 10.