Evaluate
-\frac{15}{17}\approx -0.882352941
Factor
-\frac{15}{17} = -0.8823529411764706
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-\sqrt{1-\frac{64}{289}}
Calculate \frac{8}{17} to the power of 2 and get \frac{64}{289}.
-\sqrt{\frac{289}{289}-\frac{64}{289}}
Convert 1 to fraction \frac{289}{289}.
-\sqrt{\frac{289-64}{289}}
Since \frac{289}{289} and \frac{64}{289} have the same denominator, subtract them by subtracting their numerators.
-\sqrt{\frac{225}{289}}
Subtract 64 from 289 to get 225.
-\frac{15}{17}
Rewrite the square root of the division \frac{225}{289} as the division of square roots \frac{\sqrt{225}}{\sqrt{289}}. 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
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}