Evaluate
3
Factor
3
Share
Copied to clipboard
-5-\frac{4\left(-10\right)}{\left(\sqrt{5}\right)^{2}}
Calculate the square root of 16 and get 4.
-5-\frac{-40}{\left(\sqrt{5}\right)^{2}}
Multiply 4 and -10 to get -40.
-5-\frac{-40}{5}
The square of \sqrt{5} is 5.
-5-\left(-8\right)
Divide -40 by 5 to get -8.
-5+8
The opposite of -8 is 8.
3
Add -5 and 8 to get 3.
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}