\sqrt{ { 12 }^{ 2 } + { \left( \frac{ { 7 }^{ } }{ 2 } \right) }^{ 2 } }
Evaluate
\frac{25}{2}=12.5
Factor
\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5
Share
Copied to clipboard
\sqrt{144+\left(\frac{7^{1}}{2}\right)^{2}}
Calculate 12 to the power of 2 and get 144.
\sqrt{144+\left(\frac{7}{2}\right)^{2}}
Calculate 7 to the power of 1 and get 7.
\sqrt{144+\frac{49}{4}}
Calculate \frac{7}{2} to the power of 2 and get \frac{49}{4}.
\sqrt{\frac{625}{4}}
Add 144 and \frac{49}{4} to get \frac{625}{4}.
\frac{25}{2}
Rewrite the square root of the division \frac{625}{4} as the division of square roots \frac{\sqrt{625}}{\sqrt{4}}. 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}