Evaluate
6\left(\sqrt{15}+5\right)\approx 53.237900077
Factor
6 {(\sqrt{15} + 5)} = 53.237900077
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6\left(\sqrt{5}\right)^{2}+6\sqrt{3}\sqrt{5}
Use the distributive property to multiply 2\sqrt{5} by 3\sqrt{5}+3\sqrt{3}.
6\times 5+6\sqrt{3}\sqrt{5}
The square of \sqrt{5} is 5.
30+6\sqrt{3}\sqrt{5}
Multiply 6 and 5 to get 30.
30+6\sqrt{15}
To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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
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