Answer:
2. z = 1 - 2·i → √5
3. z = 4 + 3·i → 54
4. z = 6 - 8·i → 10
1. z = √5 - i → √6
Step-by-step explanation:
1. z = √5 - i
The distance from the origin = √((√5)² +1²) = √(5 + (-1)²) = √6
Therefore, z = √5 - i → √6
2) z = 1 - 2·i
The distance from the origin = √(1² + (-2)²) = √5
Therefore, z = 1 - 2·i → √5
3) z = 4 + 3·i
The distance from the origin = √(4²+3²)) = √(16 + 9) = √25 = 5
Therefore, z = 4 + 3·i → 5
4) z = 6 - 8·i
The distance from the origin = √(6²+8²)) = √(36 + 64) = √100= 10
Therefore, z = 6 - 8·i → 10
