First attempt at identifying Fibonacci number-foiled by floating point inaccuracy in large values

Fibby Try One

def is_fibonacci?(i)
  puts "The number to test is #{i}"
  sum_test = 5 * i ** 2 + 4
  diff_test = 5 * i ** 2 - 4
  puts "Sum test = #{sum_test} and diff test = #{diff_test}"
  sum_test_intrt = (sum_test ** 0.5).to_i ** 2
  diff_test_intrt = (diff_test ** 0.5).to_i ** 2
  puts "Rounded sum root = #{sum_test_intrt} and diff root = #{diff_test_intrt}"
  if sum_test == sum_test_intrt && diff_test != diff_test_intrt
    puts "Fibby!"
    return true
  elsif sum_test != sum_test_intrt && diff_test == diff_test_intrt
    puts "Other Fibby!"
    return true
  else
    sum_diff = sum_test - sum_test_intrt
    diff_diff = diff_test - diff_test_intrt
    puts "#{sum_diff} #{diff_diff}"
    puts "Not Fibby"
    return false
  end
  
  

end