Evaluate
\frac{\sqrt{3}\sqrt[4]{2431}}{3}\approx 4.054017437
Quiz
Arithmetic
5 problems similar to:
\sqrt[ 4 ] { 7293 \sqrt { 9 ^ { - 1 } \cdot 27 ^ { - 4 / 3 } } }
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\sqrt[4]{7293\sqrt{\frac{1}{9}\times 27^{-\frac{4}{3}}}}
Calculate 9 to the power of -1 and get \frac{1}{9}.
\sqrt[4]{7293\sqrt{\frac{1}{9}\times \frac{1}{81}}}
Calculate 27 to the power of -\frac{4}{3} and get \frac{1}{81}.
\sqrt[4]{7293\sqrt{\frac{1}{729}}}
Multiply \frac{1}{9} and \frac{1}{81} to get \frac{1}{729}.
\sqrt[4]{7293\times \frac{1}{27}}
Rewrite the square root of the division \frac{1}{729} as the division of square roots \frac{\sqrt{1}}{\sqrt{729}}. Take the square root of both numerator and denominator.
\sqrt[4]{\frac{2431}{9}}
Multiply 7293 and \frac{1}{27} to get \frac{2431}{9}.
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}