Evaluate
\frac{10}{3}\approx 3.333333333
Factor
\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335
Share
Copied to clipboard
\sqrt{\frac{64}{9}+4}
Calculate \frac{8}{3} to the power of 2 and get \frac{64}{9}.
\sqrt{\frac{64}{9}+\frac{36}{9}}
Convert 4 to fraction \frac{36}{9}.
\sqrt{\frac{64+36}{9}}
Since \frac{64}{9} and \frac{36}{9} have the same denominator, add them by adding their numerators.
\sqrt{\frac{100}{9}}
Add 64 and 36 to get 100.
\frac{10}{3}
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.
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}