Evaluate
2\left(\sqrt{6}+2\right)\approx 8.898979486
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2\sqrt{2}\left(\sqrt{2}+\sqrt{3}\right)
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
2\left(\sqrt{2}\right)^{2}+2\sqrt{2}\sqrt{3}
Use the distributive property to multiply 2\sqrt{2} by \sqrt{2}+\sqrt{3}.
2\times 2+2\sqrt{2}\sqrt{3}
The square of \sqrt{2} is 2.
4+2\sqrt{2}\sqrt{3}
Multiply 2 and 2 to get 4.
4+2\sqrt{6}
To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.
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