\sqrt { 28,5 ^ { 2 } + 10 ^ { 2 } }
Evaluate
20\sqrt{2}\approx 28.284271247
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\sqrt{28\times 25+10^{2}}
Calculate 5 to the power of 2 and get 25.
\sqrt{700+10^{2}}
Multiply 28 and 25 to get 700.
\sqrt{700+100}
Calculate 10 to the power of 2 and get 100.
\sqrt{800}
Add 700 and 100 to get 800.
20\sqrt{2}
Factor 800=20^{2}\times 2. Rewrite the square root of the product \sqrt{20^{2}\times 2} as the product of square roots \sqrt{20^{2}}\sqrt{2}. Take the square root of 20^{2}.
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