Evaluate
2\left(3\sqrt{3}+7\right)\approx 24.392304845
Factor
2 {(3 \sqrt{3} + 7)} = 24.392304845
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20-4\sqrt{3}+10\sqrt{3}-2\left(\sqrt{3}\right)^{2}
Apply the distributive property by multiplying each term of 4+2\sqrt{3} by each term of 5-\sqrt{3}.
20+6\sqrt{3}-2\left(\sqrt{3}\right)^{2}
Combine -4\sqrt{3} and 10\sqrt{3} to get 6\sqrt{3}.
20+6\sqrt{3}-2\times 3
The square of \sqrt{3} is 3.
20+6\sqrt{3}-6
Multiply -2 and 3 to get -6.
14+6\sqrt{3}
Subtract 6 from 20 to get 14.
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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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}