Evaluate
\frac{4142135623730950300000000000000000}{8284271247461901131792063785892991}\approx 0.5
Factor
\frac{7 \cdot 17 \cdot 47 \cdot 2221 \cdot 19730779 \cdot 2 ^ {17} \cdot 5 ^ {17} \cdot 13 ^ {2}}{3 \cdot 29 \cdot 53 \cdot 9127 \cdot 675071 \cdot 136298689 \cdot 2139390225437} = 0.49999999999999994
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\frac{0.41421356237309503}{1 - 0.41421356237309503 ^ {2}}
Evaluate trigonometric functions in the problem
\frac{0.41421356237309503}{1-0.1715728752538098868207936214107009}
Calculate 0.41421356237309503 to the power of 2 and get 0.1715728752538098868207936214107009.
\frac{0.41421356237309503}{0.8284271247461901131792063785892991}
Subtract 0.1715728752538098868207936214107009 from 1 to get 0.8284271247461901131792063785892991.
\frac{4142135623730950300000000000000000}{8284271247461901131792063785892991}
Expand \frac{0.41421356237309503}{0.8284271247461901131792063785892991} by multiplying both numerator and the denominator by 10000000000000000000000000000000000.
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}