Factor
\frac{\left(15\sqrt[6]{a}+\sqrt[3]{3}\right)\sqrt[3]{a}}{3}
Evaluate
5\sqrt{a}+\frac{\sqrt[3]{3a}}{3}
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\frac{2\times 9^{-\frac{1}{3}}\sqrt[3]{a}+10\sqrt{a}}{2}
Factor out \frac{1}{2}.
\sqrt[3]{a}\left(2\times 9^{-\frac{1}{3}}+10\sqrt[6]{a}\right)
Consider 2\sqrt[3]{\frac{1}{9}}\sqrt[3]{a}+5\sqrt{4}\sqrt{a}. Factor out \sqrt[3]{a}.
\frac{\sqrt[3]{a}\left(2\times 9^{-\frac{1}{3}}+10\sqrt[6]{a}\right)}{2}
Rewrite the complete factored expression.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}