Evaluate
\sqrt{3}+22\sqrt{2}\approx 32.84474918
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11\times 2\sqrt{2}+\sqrt{3}
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}.
22\sqrt{2}+\sqrt{3}
Multiply 11 and 2 to get 22.
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