Evaluate
0.5
Factor
\frac{1}{2} = 0.5
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0.5^{2}\left(\sqrt{2}\right)^{2}
Expand \left(0.5\sqrt{2}\right)^{2}.
0.25\left(\sqrt{2}\right)^{2}
Calculate 0.5 to the power of 2 and get 0.25.
0.25\times 2
The square of \sqrt{2} is 2.
0.5
Multiply 0.25 and 2 to get 0.5.
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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