Evaluate
10\sqrt{3}+29\approx 46.320508076
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5\times 2\sqrt{3}+2\times 12+5
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
10\sqrt{3}+2\times 12+5
Multiply 5 and 2 to get 10.
10\sqrt{3}+24+5
Multiply 2 and 12 to get 24.
10\sqrt{3}+29
Add 24 and 5 to get 29.
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