Evaluate
\sqrt{3}\approx 1.732050808
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\frac{\sqrt{9}}{\sqrt{3}}
Subtract 3 from 12 to get 9.
\frac{3}{\sqrt{3}}
Calculate the square root of 9 and get 3.
\frac{3\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{3}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{3\sqrt{3}}{3}
The square of \sqrt{3} is 3.
\sqrt{3}
Cancel out 3 and 3.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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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}