Evaluate
20\sqrt{106}\approx 205.91260282
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\sqrt{10000+180^{2}}
Calculate 100 to the power of 2 and get 10000.
\sqrt{10000+32400}
Calculate 180 to the power of 2 and get 32400.
\sqrt{42400}
Add 10000 and 32400 to get 42400.
20\sqrt{106}
Factor 42400=20^{2}\times 106. Rewrite the square root of the product \sqrt{20^{2}\times 106} as the product of square roots \sqrt{20^{2}}\sqrt{106}. Take the square root of 20^{2}.
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