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\frac{4}{5}+\sqrt{\frac{1\times 25+11}{25}}-\sqrt{4}
Calculate \sqrt[3]{\frac{64}{125}} and get \frac{4}{5}.
\frac{4}{5}+\sqrt{\frac{25+11}{25}}-\sqrt{4}
Multiply 1 and 25 to get 25.
\frac{4}{5}+\sqrt{\frac{36}{25}}-\sqrt{4}
Add 25 and 11 to get 36.
\frac{4}{5}+\frac{6}{5}-\sqrt{4}
Rewrite the square root of the division \frac{36}{25} as the division of square roots \frac{\sqrt{36}}{\sqrt{25}}. Take the square root of both numerator and denominator.
2-\sqrt{4}
Add \frac{4}{5} and \frac{6}{5} to get 2.
2-2
Calculate the square root of 4 and get 2.
0
Subtract 2 from 2 to get 0.
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}