Evaluate
1
Factor
1
Quiz
Arithmetic
5 problems similar to:
\sqrt { 25 } - \sqrt { \frac { 1 } { 9 } } - \frac { 11 } { 3 } =
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5-\sqrt{\frac{1}{9}}-\frac{11}{3}
Calculate the square root of 25 and get 5.
5-\frac{1}{3}-\frac{11}{3}
Rewrite the square root of the division \frac{1}{9} as the division of square roots \frac{\sqrt{1}}{\sqrt{9}}. Take the square root of both numerator and denominator.
\frac{15}{3}-\frac{1}{3}-\frac{11}{3}
Convert 5 to fraction \frac{15}{3}.
\frac{15-1}{3}-\frac{11}{3}
Since \frac{15}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{14}{3}-\frac{11}{3}
Subtract 1 from 15 to get 14.
\frac{14-11}{3}
Since \frac{14}{3} and \frac{11}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{3}
Subtract 11 from 14 to get 3.
1
Divide 3 by 3 to 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}