Evaluate
\frac{\sqrt{41}+7}{2}\approx 6.701562119
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\frac{7+\sqrt{49-4\times 1\times 2}}{2\times 1}
Calculate 7 to the power of 2 and get 49.
\frac{7+\sqrt{49-4\times 2}}{2\times 1}
Multiply 4 and 1 to get 4.
\frac{7+\sqrt{49-8}}{2\times 1}
Multiply 4 and 2 to get 8.
\frac{7+\sqrt{41}}{2\times 1}
Subtract 8 from 49 to get 41.
\frac{7+\sqrt{41}}{2}
Multiply 2 and 1 to get 2.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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
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Limits
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