Evaluate
\sqrt{7}i\approx 2.645751311i
Real Part
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\sqrt{9+\left(4i\right)^{2}}
Calculate 3 to the power of 2 and get 9.
\sqrt{9-16}
Calculate 4i to the power of 2 and get -16.
\sqrt{-7}
Subtract 16 from 9 to get -7.
\sqrt{7}i
Factor -7=7\left(-1\right). Rewrite the square root of the product \sqrt{7\left(-1\right)} as the product of square roots \sqrt{7}\sqrt{-1}. By definition, the square root of -1 is i.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}