Evaluate
3\sqrt{2}\approx 4.242640687
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\sqrt{\left(-3+6\right)^{2}+\left(8-5\right)^{2}}
The opposite of -6 is 6.
\sqrt{3^{2}+\left(8-5\right)^{2}}
Add -3 and 6 to get 3.
\sqrt{9+\left(8-5\right)^{2}}
Calculate 3 to the power of 2 and get 9.
\sqrt{9+3^{2}}
Subtract 5 from 8 to get 3.
\sqrt{9+9}
Calculate 3 to the power of 2 and get 9.
\sqrt{18}
Add 9 and 9 to get 18.
3\sqrt{2}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
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}