Evaluate
\frac{3\sqrt{5}}{25}\approx 0.268328157
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\frac{3}{\sqrt{125}}
Calculate the square root of 9 and get 3.
\frac{3}{5\sqrt{5}}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
\frac{3\sqrt{5}}{5\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{3}{5\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{3\sqrt{5}}{5\times 5}
The square of \sqrt{5} is 5.
\frac{3\sqrt{5}}{25}
Multiply 5 and 5 to get 25.
Examples
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y = 3x + 4
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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