Evaluate
8-5\sqrt{5}\approx -3.180339887
Share
Copied to clipboard
3-\sqrt{5}\left(5-\sqrt{5}\right)
Subtract 3 from 8 to get 5.
3-\left(5\sqrt{5}-\left(\sqrt{5}\right)^{2}\right)
Use the distributive property to multiply \sqrt{5} by 5-\sqrt{5}.
3-\left(5\sqrt{5}-5\right)
The square of \sqrt{5} is 5.
3-5\sqrt{5}-\left(-5\right)
To find the opposite of 5\sqrt{5}-5, find the opposite of each term.
3-5\sqrt{5}+5
The opposite of -5 is 5.
8-5\sqrt{5}
Add 3 and 5 to get 8.
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}