Evaluate
-\frac{31}{24}\approx -1.291666667
Factor
-\frac{31}{24} = -1\frac{7}{24} = -1.2916666666666667
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\sqrt[3]{-\frac{8}{27}}-\sqrt{\frac{25}{64}}
Fraction \frac{-8}{27} can be rewritten as -\frac{8}{27} by extracting the negative sign.
-\frac{2}{3}-\sqrt{\frac{25}{64}}
Calculate \sqrt[3]{-\frac{8}{27}} and get -\frac{2}{3}.
-\frac{2}{3}-\frac{5}{8}
Rewrite the square root of the division \frac{25}{64} as the division of square roots \frac{\sqrt{25}}{\sqrt{64}}. Take the square root of both numerator and denominator.
-\frac{31}{24}
Subtract \frac{5}{8} from -\frac{2}{3} to get -\frac{31}{24}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}