Evaluate
\frac{\sqrt{7}}{2}+\sqrt{2}\approx 2.737089218
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\frac{\sqrt{7}+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}.
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