Evaluate
4\left(\sqrt{186}+29\right)\approx 170.552726788
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100+9+2\sqrt{744}+7
Divide 45 by 5 to get 9.
109+2\sqrt{744}+7
Add 100 and 9 to get 109.
109+2\times 2\sqrt{186}+7
Factor 744=2^{2}\times 186. Rewrite the square root of the product \sqrt{2^{2}\times 186} as the product of square roots \sqrt{2^{2}}\sqrt{186}. Take the square root of 2^{2}.
109+4\sqrt{186}+7
Multiply 2 and 2 to get 4.
116+4\sqrt{186}
Add 109 and 7 to get 116.
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