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Earn +20 ptsQ: 8 plus 6i-2 plus 3i
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What is the sum of (7 plus 3i) plus (8 plus 9i)?
(7 + 3i) + (8 + 9i) = (7 + 8) + (3i + 9i) = (7 + 8) + (3 + 9)i = 15 + 12i Which can also be written as: 15 + 12i = 3(5 + 4i).
What is the conjugate of 8-3i?
11
What are the three cube roots of negative 8?
The 3 cube roots of a cubic equation are often going to require complex numbers, and this is one of them. The primary root is (-2) since (-2)3= -8 The other two roots are going to have the same mod (2) but be evenly spaced around the complex plane, so (2pi)/3 angular difference.These angles are pi/3 and 5pi/3(2,pi/3) = (1 + √3i) = (1 + 1.732i)(2,5pi/3) = (1 + -√3i) = (1- 1.732i)Check(-2)3 = -8◄(1 + √3i)3 = -8◄(1 - √3i)3 = -8◄■
What is 8 plus 8 plus 8 plus 8 plus 8 plus 8 plus 8 plus 8 plus 8?
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 72
8 plus 8 plus 8 plus 8?
32
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