Evaluate
\sqrt{5}\left(\sqrt{10}+3\right)\approx 13.779271744
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3\sqrt{5}+\sqrt{5}\sqrt{10}
Use the distributive property to multiply \sqrt{5} by 3+\sqrt{10}.
3\sqrt{5}+\sqrt{5}\sqrt{5}\sqrt{2}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
3\sqrt{5}+5\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
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