Evaluate
4\sqrt{3}\approx 6.92820323
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\sqrt{6\left(6-4\right)^{2}\left(6-4\right)}
Multiply 6-4 and 6-4 to get \left(6-4\right)^{2}.
\sqrt{6\left(6-4\right)^{3}}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
\sqrt{6\times 2^{3}}
Subtract 4 from 6 to get 2.
\sqrt{6\times 8}
Calculate 2 to the power of 3 and get 8.
\sqrt{48}
Multiply 6 and 8 to get 48.
4\sqrt{3}
Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.
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}