Factor
\frac{-6\sqrt{x^{2}-4}+\sqrt{3}}{6}
Evaluate
-\sqrt{x^{2}-4}+\frac{\sqrt{3}}{6}
Graph
Share
Copied to clipboard
factor(\frac{\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}-\sqrt{x^{2}-4})
Rationalize the denominator of \frac{1}{2\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
factor(\frac{\sqrt{3}}{2\times 3}-\sqrt{x^{2}-4})
The square of \sqrt{3} is 3.
factor(\frac{\sqrt{3}}{6}-\sqrt{x^{2}-4})
Multiply 2 and 3 to get 6.
\frac{\sqrt{3}-6\sqrt{x^{2}-4}}{6}
Factor out \frac{1}{6}.
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}