Evaluate
\frac{10}{57}\approx 0.175438596
Factor
\frac{2 \cdot 5}{3 \cdot 19} = 0.17543859649122806
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\frac{\sqrt{\frac{99+1}{9}}}{19}
Multiply 11 and 9 to get 99.
\frac{\sqrt{\frac{100}{9}}}{19}
Add 99 and 1 to get 100.
\frac{\frac{10}{3}}{19}
Rewrite the square root of the division \frac{100}{9} as the division of square roots \frac{\sqrt{100}}{\sqrt{9}}. Take the square root of both numerator and denominator.
\frac{10}{3\times 19}
Express \frac{\frac{10}{3}}{19} as a single fraction.
\frac{10}{57}
Multiply 3 and 19 to get 57.
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}