Evaluate
5\sqrt{3}+21\sqrt{2}\approx 38.358738848
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5\sqrt{3}+7\times 3\sqrt{2}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
5\sqrt{3}+21\sqrt{2}
Multiply 7 and 3 to get 21.
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