Let's simplify the expression step by step:
√(196) = 1√(19.6) = √(196) √(0.1) = 14 √(0.1) = 14 * 0.31623 = 4.4282
√(0.196) = √(196) √(0.001) = 14 √(0.001) = 14 0.031623 = 0.4428√(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 / 0.6192≈ 100.06
Therefore, (√(196) √(19.6)):(√(0.196) √(1.96)) is approximately 100.06.
Let's simplify the expression step by step:
√(196) = 1
√(19.6) = √(196) √(0.1) = 14 √(0.1) = 14 * 0.31623 = 4.4282
√(0.196) = √(196) √(0.001) = 14 √(0.001) = 14 0.031623 = 0.4428
√(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 / 0.6192
≈ 100.06
Therefore, (√(196) √(19.6)):(√(0.196) √(1.96)) is approximately 100.06.