Evaluate
2\left(\sqrt{5}+13\right)\approx 30.472135955
Factor
2 {(\sqrt{5} + 13)} = 30.472135955
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6\left(\sqrt{5}\right)^{2}-4\sqrt{5}+6\sqrt{5}-4
Apply the distributive property by multiplying each term of 2\sqrt{5}+2 by each term of 3\sqrt{5}-2.
6\times 5-4\sqrt{5}+6\sqrt{5}-4
The square of \sqrt{5} is 5.
30-4\sqrt{5}+6\sqrt{5}-4
Multiply 6 and 5 to get 30.
30+2\sqrt{5}-4
Combine -4\sqrt{5} and 6\sqrt{5} to get 2\sqrt{5}.
26+2\sqrt{5}
Subtract 4 from 30 to get 26.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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}