I couldn't manage to solve the question below:

ABC is a triangle

|AB|=1 units

|BC|=a units

|CA|=SQUAREroot(a)

How many integer values can 6a assume?

I tried this:

square root(a)=t

there are 2 options t>1 or 0<t<1

and I found t as (sqrroot(5)-1)/2<t<(sqroot(5)+1)/2