Evaluate
-\frac{8\sqrt{51}}{205}+\frac{344}{615}\approx 0.280659704
Factor
\frac{8 {(43 - 3 \sqrt{51})}}{615} = 0.2806597036015798
Share
Copied to clipboard
\frac{\left(86-6\sqrt{51}\right)\times 4}{205\times 3}
Multiply \frac{86-6\sqrt{51}}{205} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(86-6\sqrt{51}\right)\times 4}{615}
Multiply 205 and 3 to get 615.
\frac{344-24\sqrt{51}}{615}
Use the distributive property to multiply 86-6\sqrt{51} by 4.
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}