Evaluate
\sqrt{10}\approx 3.16227766
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\frac{2\sqrt{5}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{2\sqrt{5}}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{2\sqrt{5}\sqrt{2}}{2}
The square of \sqrt{2} is 2.
\frac{2\sqrt{10}}{2}
To multiply \sqrt{5} and \sqrt{2}, multiply the numbers under the square root.
\sqrt{10}
Cancel out 2 and 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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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