Evaluate
8\sqrt{2}\approx 11.313708499
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\sqrt{\left(-8\right)^{2}+\left(-2-6\right)^{2}}
Subtract 5 from -3 to get -8.
\sqrt{64+\left(-2-6\right)^{2}}
Calculate -8 to the power of 2 and get 64.
\sqrt{64+\left(-8\right)^{2}}
Subtract 6 from -2 to get -8.
\sqrt{64+64}
Calculate -8 to the power of 2 and get 64.
\sqrt{128}
Add 64 and 64 to get 128.
8\sqrt{2}
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}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}