Evaluate
\frac{9}{2}=4.5
Factor
\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5
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\left(\sqrt{\frac{8+1}{2}}\right)^{2}
Multiply 4 and 2 to get 8.
\left(\sqrt{\frac{9}{2}}\right)^{2}
Add 8 and 1 to get 9.
\frac{9}{2}
The square of \sqrt{\frac{9}{2}} is \frac{9}{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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}