Evaluate
5\left(\sqrt{3}+2\right)\approx 18.660254038
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\sqrt{5}\sqrt{15}+2\left(\sqrt{5}\right)^{2}
Use the distributive property to multiply \sqrt{5} by \sqrt{15}+2\sqrt{5}.
\sqrt{5}\sqrt{5}\sqrt{3}+2\left(\sqrt{5}\right)^{2}
Factor 15=5\times 3. Rewrite the square root of the product \sqrt{5\times 3} as the product of square roots \sqrt{5}\sqrt{3}.
5\sqrt{3}+2\left(\sqrt{5}\right)^{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
5\sqrt{3}+2\times 5
The square of \sqrt{5} is 5.
5\sqrt{3}+10
Multiply 2 and 5 to get 10.
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