Evaluate
\frac{120}{13}\approx 9.230769231
Factor
\frac{2 ^ {3} \cdot 3 \cdot 5}{13} = 9\frac{3}{13} = 9.23076923076923
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\sqrt{100-\frac{2500}{169}}
Calculate \frac{50}{13} to the power of 2 and get \frac{2500}{169}.
\sqrt{\frac{16900}{169}-\frac{2500}{169}}
Convert 100 to fraction \frac{16900}{169}.
\sqrt{\frac{16900-2500}{169}}
Since \frac{16900}{169} and \frac{2500}{169} have the same denominator, subtract them by subtracting their numerators.
\sqrt{\frac{14400}{169}}
Subtract 2500 from 16900 to get 14400.
\frac{120}{13}
Rewrite the square root of the division \frac{14400}{169} as the division of square roots \frac{\sqrt{14400}}{\sqrt{169}}. Take the square root of both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}