Evaluate
\frac{2\sqrt{2}}{5}\approx 0.565685425
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\sqrt{\frac{8}{25}}
Calculate 5 to the power of 2 and get 25.
\frac{\sqrt{8}}{\sqrt{25}}
Rewrite the square root of the division \sqrt{\frac{8}{25}} as the division of square roots \frac{\sqrt{8}}{\sqrt{25}}.
\frac{2\sqrt{2}}{\sqrt{25}}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
\frac{2\sqrt{2}}{5}
Calculate the square root of 25 and get 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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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
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Limits
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