Evaluate
4\sqrt{3}+6\sqrt{2}-2\sqrt{5}\approx 10.94134865
Factor
2 {(2 \sqrt{3} + 3 \sqrt{2} - \sqrt{5})} = 10.94134865
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6\left(\sqrt{3}+\sqrt{2}\right)-2\left(\sqrt{3}+\sqrt{5}\right)
Multiply 3 and 2 to get 6.
6\sqrt{3}+6\sqrt{2}-2\left(\sqrt{3}+\sqrt{5}\right)
Use the distributive property to multiply 6 by \sqrt{3}+\sqrt{2}.
6\sqrt{3}+6\sqrt{2}-2\sqrt{3}-2\sqrt{5}
Use the distributive property to multiply -2 by \sqrt{3}+\sqrt{5}.
4\sqrt{3}+6\sqrt{2}-2\sqrt{5}
Combine 6\sqrt{3} and -2\sqrt{3} to get 4\sqrt{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}