Question
Value of $\left(\frac{\sqrt{3}+1}{\sqrt{3}-\mathrm{i}}\right)+3$ is equal to(a) 0(b) 2(c) $-2$(d) 4
Step 1
We can write $\sqrt{3}+1$ as $2\cos\left(\frac{\pi}{6}\right)+2\mathrm{i}\sin\left(\frac{\pi}{6}\right)$ and $\sqrt{3}-\mathrm{i}$ as $2\cos\left(-\frac{\pi}{6}\right)+2\mathrm{i}\sin\left(-\frac{\pi}{6}\right)$. Show more…
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