Let's simplify the expression step by step:

√(196) = 14
√(19.6) = √(196) √(0.1) = 14 √(0.1) = 14 * 0.31623 = 4.4282

√(0.196) = √(196) √(0.001) = 14 √(0.001) = 14 0.031623 = 0.44282
√(1.96) = √(196) √(0.01) = 14 √(0.01) = 14 0.1 = 1.4

Now substitute the values into the expression:
(14 4.4282) / (0.44282 1.4)
= 62 / 0.61928
≈ 100.06

Therefore, (√(196) √(19.6)):(√(0.196) √(1.96)) is approximately 100.06.