And can you explain a bit about imaginary numbers? such as problems like (3+2i) (15-8i)?
-
1. Recall that |a + bi| = √(a² + b²).
Let a = 15 and b = -8, so:
√(15² + (-8)²)
= √(225 + 64)
= √289
= 17
2. Multiply each term by term and combine like terms to get:
45 - 24i + 30i - 16i²
= 45 + 6i + 16 [i² = -1]
= 59 + 6i
I hope this helps!
Let a = 15 and b = -8, so:
√(15² + (-8)²)
= √(225 + 64)
= √289
= 17
2. Multiply each term by term and combine like terms to get:
45 - 24i + 30i - 16i²
= 45 + 6i + 16 [i² = -1]
= 59 + 6i
I hope this helps!