Evaluate
-\frac{1}{2}=-0.5
Factor
-\frac{1}{2} = -0.5
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5+\sqrt[3]{-27}-\sqrt{\frac{6\times 4+1}{4}}
Calculate the square root of 25 and get 5.
5-3-\sqrt{\frac{6\times 4+1}{4}}
Calculate \sqrt[3]{-27} and get -3.
2-\sqrt{\frac{6\times 4+1}{4}}
Subtract 3 from 5 to get 2.
2-\sqrt{\frac{24+1}{4}}
Multiply 6 and 4 to get 24.
2-\sqrt{\frac{25}{4}}
Add 24 and 1 to get 25.
2-\frac{5}{2}
Rewrite the square root of the division \frac{25}{4} as the division of square roots \frac{\sqrt{25}}{\sqrt{4}}. Take the square root of both numerator and denominator.
-\frac{1}{2}
Subtract \frac{5}{2} from 2 to get -\frac{1}{2}.
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}