What is the exact distance between (9, -3) and (-1, 8)?

Question

What is the exact distance between
`(9, -3)` and
`(-1, 8)`?

Answer 1

Explanation:

d^2 = (x2 - x1)^2 + (y2 - y1)^2

x1 = 9

x2 = -1

y1 = -3

y2 = 8

d^2 = (-1 -9)^2 + (8 - - 3)^2

d^2 = (-10)^2 + 11^2

d^2 = 100 + 121^2

d^2 = 221

221 is not prime, it is 13 * 17 which doesn't factor down any further.

So

d = sqrt(221)