Evaluate
\frac{\sqrt{5}}{5}-\frac{7}{20}\approx 0.097213595
Factor
\frac{4 \sqrt{5} - 7}{20} = 0.09721359549995796
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\sqrt[4]{\frac{1}{25}}-\frac{4}{5}+3^{2}\times \frac{1}{20}
Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.
\sqrt[4]{\frac{1}{25}}-\frac{4}{5}+9\times \frac{1}{20}
Calculate 3 to the power of 2 and get 9.
\sqrt[4]{\frac{1}{25}}-\frac{4}{5}+\frac{9}{20}
Multiply 9 and \frac{1}{20} to get \frac{9}{20}.
\sqrt[4]{\frac{1}{25}}-\frac{7}{20}
Add -\frac{4}{5} and \frac{9}{20} to get -\frac{7}{20}.
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}