Engineering Board Exam Reviewer · Complex Numbers: Operations · medium

Simplify: (2+3i)2

1. -5+12i
2. 13+12i
3. -5-12i
4. 4+9i

Answer

A. -5+12i

Solution

4+12i+9i2=4+12i-9=-5+12i.

More Complex Numbers: Operations questions

1. Simplify: i2001
2. Simplify: i15+i18
3. Add: (3+5i)+(2-7i)
4. Multiply: (4+3i)(2-i)
5. Divide: 3+4i/1-2i
6. Find the absolute value (modulus) of 5-12i.
7. Find the complex conjugate of 6-8i, then multiply it by the original number.

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