Suppose \(a\), \(b\) and \(c\) are positive numbers satisfying:
\(\begin{align*} a^2/b &= 1, \\ b^2/c &= 2, \text{ and}\\ c^2/a &= 3. \end{align*}\)
Find \(a\).
The value of a is sqrt(3).
+177 
