Evaluate
20\sqrt{2}\approx 28.284271247
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4\sqrt{10}\sqrt{5}
Divide 92\sqrt{10} by 23 to get 4\sqrt{10}.
4\sqrt{5}\sqrt{2}\sqrt{5}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
4\times 5\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
20\sqrt{2}
Multiply 4 and 5 to get 20.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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