Evaluate
12
Real Part
12
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\left(\sqrt{3}\right)^{2}+3i\sqrt{3}-3i\sqrt{3}+9
Apply the distributive property by multiplying each term of \sqrt{3}-3i by each term of \sqrt{3}+3i.
3+3i\sqrt{3}-3i\sqrt{3}+9
The square of \sqrt{3} is 3.
3+9
Combine 3i\sqrt{3} and -3i\sqrt{3} to get 0.
12
Add 3 and 9 to get 12.
Re(\left(\sqrt{3}\right)^{2}+3i\sqrt{3}-3i\sqrt{3}+9)
Apply the distributive property by multiplying each term of \sqrt{3}-3i by each term of \sqrt{3}+3i.
Re(3+3i\sqrt{3}-3i\sqrt{3}+9)
The square of \sqrt{3} is 3.
Re(3+9)
Combine 3i\sqrt{3} and -3i\sqrt{3} to get 0.
Re(12)
Add 3 and 9 to get 12.
12
The real part of 12 is 12.
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