Evaluate
\frac{\sqrt{2}\left(\sqrt{6}+1\right)}{2}\approx 2.439157589
Factor
\frac{\sqrt{2} {(\sqrt{2} \sqrt{3} + 1)}}{2} = 2.439157588755425
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\frac{\sqrt{2}}{2}+\frac{2\sqrt{3}}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply \sqrt{3} times \frac{2}{2}.
\frac{\sqrt{2}+2\sqrt{3}}{2}
Since \frac{\sqrt{2}}{2} and \frac{2\sqrt{3}}{2} have the same denominator, add them by adding their numerators.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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