2+ \sqrt{ { \left(m- \sqrt{ 3 } \right) }^{ 2 } + { \left(3- \frac{ 1 }{ 4 } { m }^{ } +1 \right) }^{ 2 } } + \sqrt{ { m }^{ 2 } + { \left(2- \frac{ 1 }{ 4 } { m }^{ } +1 \right) }^{ 2 } }
Factor
\frac{\sqrt{17m^{2}-32\sqrt{3}m-32m+304}+\sqrt{17m^{2}-24m+144}+8}{4}
Evaluate
\frac{\sqrt{17m^{2}-32\sqrt{3}m-32m+304}+\sqrt{17m^{2}-24m+144}+8}{4}
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\frac{8+\sqrt{16\left(m-\sqrt{3}\right)^{2}+\left(16-m^{1}\right)^{2}}+\sqrt{16m^{2}+\left(12-m^{1}\right)^{2}}}{4}
Factor out \frac{1}{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}