( - 1 ) ^ { 2000 } - 1 - \sqrt { 2 } | + \sqrt[ 3 ] { 27 }
Evaluate
-3\sqrt{2}\approx -4.242640687
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1-1-\sqrt{2}|\sqrt[3]{27}|
Calculate -1 to the power of 2000 and get 1.
0-\sqrt{2}|\sqrt[3]{27}|
Subtract 1 from 1 to get 0.
0-\sqrt{2}|3|
Calculate \sqrt[3]{27} and get 3.
0-\sqrt{2}\times 3
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 3 is 3.
0-3\sqrt{2}
Multiply -1 and 3 to get -3.
-3\sqrt{2}
Anything plus zero gives itself.
Examples
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{ 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}