Evaluate
4.2
Factor
\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2
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\sqrt{19.6\times 90\times 10^{-2}}
Multiply 2 and 9.8 to get 19.6.
\sqrt{1764\times 10^{-2}}
Multiply 19.6 and 90 to get 1764.
\sqrt{1764\times \frac{1}{100}}
Calculate 10 to the power of -2 and get \frac{1}{100}.
\sqrt{\frac{441}{25}}
Multiply 1764 and \frac{1}{100} to get \frac{441}{25}.
\frac{21}{5}
Rewrite the square root of the division \frac{441}{25} as the division of square roots \frac{\sqrt{441}}{\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}