Evaluate
\sqrt{122}+3\sqrt{2}\approx 15.288001704
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4\sqrt{2}-\sqrt{2}+\sqrt{122}
Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.
3\sqrt{2}+\sqrt{122}
Combine 4\sqrt{2} and -\sqrt{2} to get 3\sqrt{2}.
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