Question

Find 4 arithmetic means between -root(5) and 12 root (5)

Answer 1

ignoring the root5 for the moment, we need to find 4 AMs between -1 and 12

-1 + 5d = 12
d = 13/5

so, the terms are:

-1 8/5 21/5 34/5 47/5 12

multiply each by root5