Evaluate
\frac{\sqrt{5}}{2}\approx 1.118033989
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\frac{5\sqrt{5}}{2\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{5}{2\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{5\sqrt{5}}{2\times 5}
The square of \sqrt{5} is 5.
\frac{\sqrt{5}}{2}
Cancel out 5 in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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Matrix
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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
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Limits
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