Question

Como tirar raiz por fatoração..? Ex: Raiz de 104.

Answer 1

104 / 2

 52  / 2

 26 / 2

  13 / 13

   1

                      √104=√2².2.13

                         √104= 2√2.13

                          √104=2√26

                        

   1                 

Answer 2

$\sqrt{104} = \\ \\ 104 |2 \\ 52 \: \: |2 \\ 26 \: \: |2 \\ 13 \: \: |13 \\ 1 \: \: \: \: \boxed{ {2}^{2}\cdot {2}\cdot13} \\ \\ \sqrt{ {2}^{2} \cdot {2}\cdot13 } = \\ \sqrt{ {2}^{2} } \sqrt{2} \sqrt{13} = \\ \sqrt{4} \sqrt{2} \sqrt{13} = \\ 2 \sqrt{2\cdot13} = \\ \boxed{2 \sqrt{26} }$