Evaluate
6.254-45\sqrt{3}\approx -71.688286341
Factor
\frac{3127 - 22500 \sqrt{3}}{500} = -71.68828634059948
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6.254-5\times \frac{2\sqrt{3}\times 3^{2}}{2}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
6.254-5\times \frac{2\sqrt{3}\times 9}{2}
Calculate 3 to the power of 2 and get 9.
6.254-5\times \frac{18\sqrt{3}}{2}
Multiply 2 and 9 to get 18.
6.254-5\times 9\sqrt{3}
Divide 18\sqrt{3} by 2 to get 9\sqrt{3}.
6.254-45\sqrt{3}
Multiply 5 and 9 to get 45.
Examples
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{ 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}