Factor
\frac{\sqrt{x}\left(15x^{\frac{3}{2}}+3\sqrt{5}+10\right)}{15}
Evaluate
x^{2}+\frac{\sqrt{5x}}{5}+\frac{2\sqrt{x}}{3}
Graph
Quiz
Algebra
5 problems similar to:
( { x }^{ 2 } + \sqrt{ \frac{ x }{ 5 } } )+ \frac{ \sqrt{ 4x } }{ 3 }
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\frac{3x^{2}+\frac{3\sqrt{5}\sqrt{x}}{5}+2\sqrt{x}}{3}
Factor out \frac{1}{3}.
\sqrt{x}\left(3x^{\frac{3}{2}}+\frac{3\sqrt{5}}{5}+2\right)
Consider 3x^{2}+3\sqrt{\frac{1}{5}}\sqrt{x}+\sqrt{4}\sqrt{x}. Factor out \sqrt{x}.
\frac{\sqrt{x}\left(3x^{\frac{3}{2}}+\frac{3\sqrt{5}}{5}+2\right)}{3}
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}