Evaluate
-4\sqrt{3}+4i\approx -6.92820323+4i
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-4\sqrt{3}+4i
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\left(-1+\sqrt{3}+i+i\sqrt{3}\right)^{2}
Use the distributive property to multiply i by 1+\sqrt{3}.
\left(-1+\left(1+i\right)\sqrt{3}+i\right)^{2}
Combine \sqrt{3} and i\sqrt{3} to get \left(1+i\right)\sqrt{3}.
-4\sqrt{3}+2\left(\sqrt{3}\right)^{2}i-2i
Square -1+\left(1+i\right)\sqrt{3}+i.
-4\sqrt{3}+2\times \left(3i\right)-2i
The square of \sqrt{3} is 3.
-4\sqrt{3}+6i-2i
Multiply 2 and 3i to get 6i.
-4\sqrt{3}+4i
Subtract 2i from 6i to get 4i.
\left(-1+\sqrt{3}+i+i\sqrt{3}\right)^{2}
Use the distributive property to multiply i by 1+\sqrt{3}.
\left(-1+\left(1+i\right)\sqrt{3}+i\right)^{2}
Combine \sqrt{3} and i\sqrt{3} to get \left(1+i\right)\sqrt{3}.
-4\sqrt{3}+2\left(\sqrt{3}\right)^{2}i-2i
Square -1+\left(1+i\right)\sqrt{3}+i.
-4\sqrt{3}+2\times \left(3i\right)-2i
The square of \sqrt{3} is 3.
-4\sqrt{3}+6i-2i
Multiply 2 and 3i to get 6i.
-4\sqrt{3}+4i
Subtract 2i from 6i to get 4i.
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Simultaneous equation
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Differentiation
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Integration
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Limits
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