Evaluate
9\sqrt{3}\approx 15.588457268
Share
Copied to clipboard
\frac{\frac{38}{2}+8}{\sqrt{3}}
Add 36 and 2 to get 38.
\frac{19+8}{\sqrt{3}}
Divide 38 by 2 to get 19.
\frac{27}{\sqrt{3}}
Add 19 and 8 to get 27.
\frac{27\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{27}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{27\sqrt{3}}{3}
The square of \sqrt{3} is 3.
9\sqrt{3}
Divide 27\sqrt{3} by 3 to get 9\sqrt{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}