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### High School Mathematics - 22.6 Some Properties of Complex Numbers

 Directions: Answer the following questions. Also write at least 5 examples of your own.

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### High School Mathematics - 22.6 Some Properties of Complex Numbers

 Q 1: The conjugate of the product of two complex numbers z1 = 3+i7, z2 = 8+i535-i3321-i427-i57 Q 2: Find the conjugate of the number 49-i7.Answer: Q 3: Find x and y in (3y-2)+i(7-2x) = 0Answer: Q 4: Find x and y in [3/(Ö5 x 5] + i2Ö5y = Ö2Answer: Q 5: [(Ö2+iÖ3)+(Ö2-iÖ3)]/[(Ö3+iÖ2)+(Ö3-iÖ2)]Answer: Q 6: If z = a+ib, what is the multiplicative inverse?1/a-ib1/a+iba-ib Q 7: Find the conjugate of -iÖ5.Answer: Q 8: Conjugate of conjugate of 3i is ___.3i1/3i-3i Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!