Evaluate
\frac{12}{5}=2.4
Factor
\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4
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\sqrt{9-\left(\frac{9}{5}\right)^{2}}
Calculate 3 to the power of 2 and get 9.
\sqrt{9-\frac{81}{25}}
Calculate \frac{9}{5} to the power of 2 and get \frac{81}{25}.
\sqrt{\frac{225}{25}-\frac{81}{25}}
Convert 9 to fraction \frac{225}{25}.
\sqrt{\frac{225-81}{25}}
Since \frac{225}{25} and \frac{81}{25} have the same denominator, subtract them by subtracting their numerators.
\sqrt{\frac{144}{25}}
Subtract 81 from 225 to get 144.
\frac{12}{5}
Rewrite the square root of the division \frac{144}{25} as the division of square roots \frac{\sqrt{144}}{\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}