Question:medium
The value of $\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^{3}+\left(\frac{\sqrt{3}}{2}-\frac{i}{2}\right)^{3}$ is equal to
The value of $\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^{3}+\left(\frac{\sqrt{3}}{2}-\frac{i}{2}\right)^{3}$ is equal to
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Logic Tip: Notice that $z$ and $\bar{z}$ are complex conjugates. The sum of any complex number and its conjugate ($z^n + \bar{z}^n$) will always result in a purely real number, as the imaginary components will cancel out.
Updated On: Apr 27, 2026
- $3\sqrt{3}$
- $2\sqrt{3}$
- $2$
- $0$
- $-1$
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The Correct Option is D
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