Evaluate
10\sqrt{17}\approx 41.231056256
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\sqrt{100+2\times 10\times 80}
Calculate 10 to the power of 2 and get 100.
\sqrt{100+20\times 80}
Multiply 2 and 10 to get 20.
\sqrt{100+1600}
Multiply 20 and 80 to get 1600.
\sqrt{1700}
Add 100 and 1600 to get 1700.
10\sqrt{17}
Factor 1700=10^{2}\times 17. Rewrite the square root of the product \sqrt{10^{2}\times 17} as the product of square roots \sqrt{10^{2}}\sqrt{17}. Take the square root of 10^{2}.
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