Evaluate
-\frac{32}{5}=-6.4
Factor
-\frac{32}{5} = -6\frac{2}{5} = -6.4
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-4-\sqrt{9}+\sqrt{1-\frac{16}{25}}
Calculate \sqrt[3]{-64} and get -4.
-4-3+\sqrt{1-\frac{16}{25}}
Calculate the square root of 9 and get 3.
-7+\sqrt{1-\frac{16}{25}}
Subtract 3 from -4 to get -7.
-7+\sqrt{\frac{9}{25}}
Subtract \frac{16}{25} from 1 to get \frac{9}{25}.
-7+\frac{3}{5}
Rewrite the square root of the division \frac{9}{25} as the division of square roots \frac{\sqrt{9}}{\sqrt{25}}. Take the square root of both numerator and denominator.
-\frac{32}{5}
Add -7 and \frac{3}{5} to get -\frac{32}{5}.
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}