Evaluate
\frac{8}{3}\approx 2.666666667
Factor
\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665
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\sqrt{\left(\frac{10}{3}\right)^{2}+0-4}
Add -\frac{2}{3} and 4 to get \frac{10}{3}.
\sqrt{\frac{100}{9}+0-4}
Calculate \frac{10}{3} to the power of 2 and get \frac{100}{9}.
\sqrt{\frac{100}{9}-4}
Add \frac{100}{9} and 0 to get \frac{100}{9}.
\sqrt{\frac{64}{9}}
Subtract 4 from \frac{100}{9} to get \frac{64}{9}.
\frac{8}{3}
Rewrite the square root of the division \frac{64}{9} as the division of square roots \frac{\sqrt{64}}{\sqrt{9}}. Take the square root of both numerator and denominator.
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}