Evaluate
10\sqrt{2}\approx 14.142135624
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\sqrt{100+10^{2}}
Calculate 10 to the power of 2 and get 100.
\sqrt{100+100}
Calculate 10 to the power of 2 and get 100.
\sqrt{200}
Add 100 and 100 to get 200.
10\sqrt{2}
Factor 200=10^{2}\times 2. Rewrite the square root of the product \sqrt{10^{2}\times 2} as the product of square roots \sqrt{10^{2}}\sqrt{2}. Take the square root of 10^{2}.
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