Evaluate
\frac{215}{72}\approx 2.986111111
Factor
\frac{5 \cdot 43}{2 ^ {3} \cdot 3 ^ {2}} = 2\frac{71}{72} = 2.986111111111111
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-\frac{1}{8}+\sqrt{\frac{36}{4}}+3^{-2}
Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.
-\frac{1}{8}+\sqrt{9}+3^{-2}
Divide 36 by 4 to get 9.
-\frac{1}{8}+3+3^{-2}
Calculate the square root of 9 and get 3.
\frac{23}{8}+3^{-2}
Add -\frac{1}{8} and 3 to get \frac{23}{8}.
\frac{23}{8}+\frac{1}{9}
Calculate 3 to the power of -2 and get \frac{1}{9}.
\frac{215}{72}
Add \frac{23}{8} and \frac{1}{9} to get \frac{215}{72}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}