Evaluate
0.2
Factor
\frac{1}{5} = 0.2
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\sqrt{\frac{16+9}{16}\times 0.0256}
Multiply 1 and 16 to get 16.
\sqrt{\frac{25}{16}\times 0.0256}
Add 16 and 9 to get 25.
\sqrt{\frac{25}{16}\times \frac{16}{625}}
Convert decimal number 0.0256 to fraction \frac{256}{10000}. Reduce the fraction \frac{256}{10000} to lowest terms by extracting and canceling out 16.
\sqrt{\frac{25\times 16}{16\times 625}}
Multiply \frac{25}{16} times \frac{16}{625} by multiplying numerator times numerator and denominator times denominator.
\sqrt{\frac{25}{625}}
Cancel out 16 in both numerator and denominator.
\sqrt{\frac{1}{25}}
Reduce the fraction \frac{25}{625} to lowest terms by extracting and canceling out 25.
\frac{1}{5}
Rewrite the square root of the division \frac{1}{25} as the division of square roots \frac{\sqrt{1}}{\sqrt{25}}. 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}