Match each complex numbers with its corresponding distance to the origin

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

x = 3 ± √(5+y)