Evaluate
-\frac{24\sqrt{2}}{7}+4\approx -0.848732214
Factor
\frac{4 {(7 - 6 \sqrt{2})}}{7} = -0.8487322138506121
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4-\sqrt{8}\sqrt{2}\times \frac{3}{7}\sqrt{8}
Factor 16=8\times 2. Rewrite the square root of the product \sqrt{8\times 2} as the product of square roots \sqrt{8}\sqrt{2}.
4-8\times \frac{3}{7}\sqrt{2}
Multiply \sqrt{8} and \sqrt{8} to get 8.
4-\frac{8\times 3}{7}\sqrt{2}
Express 8\times \frac{3}{7} as a single fraction.
4-\frac{24}{7}\sqrt{2}
Multiply 8 and 3 to get 24.
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}