Evaluate
5\sqrt{2}\approx 7.071067812
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\sqrt{\left(-5\right)^{2}+\left(-5-0\right)^{2}}
Add -7 and 2 to get -5.
\sqrt{25+\left(-5-0\right)^{2}}
Calculate -5 to the power of 2 and get 25.
\sqrt{25+\left(-5\right)^{2}}
Subtract 0 from -5 to get -5.
\sqrt{25+25}
Calculate -5 to the power of 2 and get 25.
\sqrt{50}
Add 25 and 25 to get 50.
5\sqrt{2}
Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}