Evaluate
\sqrt{3}+2\approx 3.732050808
Factor
\sqrt{3} + 2 = 3.732050808
Share
Copied to clipboard
\frac{\left(8+4\sqrt{3}\right)\times 3}{6\times 2}
Divide \frac{8+4\sqrt{3}}{6} by \frac{2}{3} by multiplying \frac{8+4\sqrt{3}}{6} by the reciprocal of \frac{2}{3}.
\frac{4\sqrt{3}+8}{2\times 2}
Cancel out 3 in both numerator and denominator.
\frac{4\sqrt{3}+8}{4}
Multiply 2 and 2 to get 4.
\sqrt{3}+2
Divide each term of 4\sqrt{3}+8 by 4 to get \sqrt{3}+2.
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}