Evaluate
\sqrt{2}+3\approx 4.414213562
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\frac{6+2\sqrt{2}}{2}
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}.
3+\sqrt{2}
Divide each term of 6+2\sqrt{2} by 2 to get 3+\sqrt{2}.
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