Evaluate
4\sqrt{6}+4\sqrt{15}\approx 25.289892356
Factor
4 \sqrt{3} {(\sqrt{2} + \sqrt{5})} = 25.289892356
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4\sqrt{3}\sqrt{2}+4\sqrt{3}\sqrt{5}
Use the distributive property to multiply 2\sqrt{3} by 2\sqrt{2}+2\sqrt{5}.
4\sqrt{6}+4\sqrt{3}\sqrt{5}
To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.
4\sqrt{6}+4\sqrt{15}
To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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