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\sqrt{4052169-2\times 2013\times 2012+2012^{2}}
Calculate 2013 to the power of 2 and get 4052169.
\sqrt{4052169-4026\times 2012+2012^{2}}
Multiply 2 and 2013 to get 4026.
\sqrt{4052169-8100312+2012^{2}}
Multiply 4026 and 2012 to get 8100312.
\sqrt{-4048143+2012^{2}}
Subtract 8100312 from 4052169 to get -4048143.
\sqrt{-4048143+4048144}
Calculate 2012 to the power of 2 and get 4048144.
\sqrt{1}
Add -4048143 and 4048144 to get 1.
1
Calculate the square root of 1 and get 1.
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}