Question

determine raiz quadrada de 19,36

Answer 1

19,36 = 1936/100

√19,36 =
= √(1936/100) =
= √1936/√100 =
= 44/10 =
= 4,4


Raiz quadrada de 1936:
1936 | 2
968   | 2
484   | 2
242   | 2
121   | 11
11     | 11
1             √1936 = √(2² . 2² . 11²) = 2 . 2 . 11 = 44

Raiz quadrada de 100:
100 | 2
50   | 2
25   | 5
5     | 5
1          √100 = √(2² . 5²) = 2 . 5 = 10