Question

if a b and c are positive integers such that square root (a/b) = 8 c and ac = b, what is the value of c

Answer 1

if we plug b = ac into sqrtr(a/b) we get sqrt (a /ac0 = sqrt (1 / c)

so we can say

sqrt (1/c) = 8c


solve for c

Answer 2

square both sides
1 / c = 64c^2

Answer 3

that will not give a positive integer though. Are you sure you have the question right?