Evaluate
0.04
Factor
\frac{1}{5 ^ {2}} = 0.04
Share
Copied to clipboard
\sqrt{\frac{0.4\times 0.6}{150}}
Subtract 0.4 from 1 to get 0.6.
\sqrt{\frac{0.24}{150}}
Multiply 0.4 and 0.6 to get 0.24.
\sqrt{\frac{24}{15000}}
Expand \frac{0.24}{150} by multiplying both numerator and the denominator by 100.
\sqrt{\frac{1}{625}}
Reduce the fraction \frac{24}{15000} to lowest terms by extracting and canceling out 24.
\frac{1}{25}
Rewrite the square root of the division \frac{1}{625} as the division of square roots \frac{\sqrt{1}}{\sqrt{625}}. Take the square root of both numerator and denominator.
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}