Question

Find the distance between
6+5i
and
-2 + 4i
√[?]

Answer 1

Answer:
`√(65)`

Explanation:

To find the distance between two complex numbers, we use the formula:

distance = |z1 - z2|

where z1 and z2 are the complex numbers.

In this case, z1 = 6 + 5i and z2 = -2 + 4i, so we have:

distance = |(6 + 5i) - (-2 + 4i)|

= |8 + i|

= sqrt(8^2 + 1^2)

= sqrt(65)

Therefore, the distance between 6+5i and -2+4i is sqrt(65).