Question

Qual é a raiz quadrada de 10.648 ?

Answer 1

10.648 | 2
5.324   | 2
2.662   | 2
1.331   | 11
121      | 11
11        | 11
1                  10.648 = 2² . 2 . 11² . 11 = (2 . 11)² . 2 . 11 = 22² . 22

√10.648 = √(22² . 22) = 22√22 ≈ 103,189

Answer 2

$\sqrt{10648} =$

temos que fatorar 

10648 | 2 
  5324 | 2
  2662 | 2 
  1331 | 11
    121 | 11
      11 | 11
        1  -----
            2² . 2 . 11² . 11 

$\sqrt{2^2.2.11^2.11}$ (SEPARA AS RAIZES)
$\sqrt{2^2} . \sqrt{2} . \sqrt{11^2} . \sqrt{11}$ (CORTE AS RAIZES)
$2. \sqrt{2}. 11 \sqrt{11}$
$= 22 \sqrt{22}$