Evaluate
5\sqrt{2}\approx 7.071067812
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\frac{1}{2}\sqrt{100+10^{2}}
Calculate 10 to the power of 2 and get 100.
\frac{1}{2}\sqrt{100+100}
Calculate 10 to the power of 2 and get 100.
\frac{1}{2}\sqrt{200}
Add 100 and 100 to get 200.
\frac{1}{2}\times 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}.
\frac{10}{2}\sqrt{2}
Multiply \frac{1}{2} and 10 to get \frac{10}{2}.
5\sqrt{2}
Divide 10 by 2 to get 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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