Evaluate
\frac{27}{4}i=6.75i
Real Part
0
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\left(\frac{3}{2}\right)^{2}\left(\sqrt{3i}\right)^{2}
Expand \left(\frac{3}{2}\sqrt{3i}\right)^{2}.
\frac{9}{4}\left(\sqrt{3i}\right)^{2}
Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.
\frac{9}{4}\times \left(3i\right)
The square of \sqrt{3i} is 3i.
\frac{27}{4}i
Multiply \frac{9}{4} and 3i to get \frac{27}{4}i.
Re(\left(\frac{3}{2}\right)^{2}\left(\sqrt{3i}\right)^{2})
Expand \left(\frac{3}{2}\sqrt{3i}\right)^{2}.
Re(\frac{9}{4}\left(\sqrt{3i}\right)^{2})
Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.
Re(\frac{9}{4}\times \left(3i\right))
The square of \sqrt{3i} is 3i.
Re(\frac{27}{4}i)
Multiply \frac{9}{4} and 3i to get \frac{27}{4}i.
0
The real part of \frac{27}{4}i is 0.
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