Evaluate
8\sqrt{2}+6\approx 17.313708499
Factor
2 {(4 \sqrt{2} + 3)} = 17.313708499
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6\times 8\sqrt{2}-4\sqrt{200}+2\sqrt{9}
Factor 128=8^{2}\times 2. Rewrite the square root of the product \sqrt{8^{2}\times 2} as the product of square roots \sqrt{8^{2}}\sqrt{2}. Take the square root of 8^{2}.
48\sqrt{2}-4\sqrt{200}+2\sqrt{9}
Multiply 6 and 8 to get 48.
48\sqrt{2}-4\times 10\sqrt{2}+2\sqrt{9}
Factor 200=10^{2}\times 2. Rewrite the square root of the product \sqrt{10^{2}\times 2} as the product of square roots \sqrt{10^{2}}\sqrt{2}. Take the square root of 10^{2}.
48\sqrt{2}-40\sqrt{2}+2\sqrt{9}
Multiply -4 and 10 to get -40.
8\sqrt{2}+2\sqrt{9}
Combine 48\sqrt{2} and -40\sqrt{2} to get 8\sqrt{2}.
8\sqrt{2}+2\times 3
Calculate the square root of 9 and get 3.
8\sqrt{2}+6
Multiply 2 and 3 to get 6.
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}