Question

raiz quadrada de 192 j

Answer 1

192|2             $\sqrt{2 ^{2}* {2 ^{2} *{2 ^{2} *3$
  96|2
  48|2               2*2*2$\sqrt{3$
  24|2                 8$\sqrt{3$
  12|2
   6 |2
   3| 3
    1

Answer 2

Resposta:

$\boxed{ \boxed{ \bf{8 \sqrt{3} } } }$

Explicação passo-a-passo:

$\sqrt{192} = \\ \\ 192 |2 \\ 96 \: \: |2 \\ 48 \: \: | 2 \\ 24 \: \: |2 \\ 12 \: \: |2 \\ 6 \: \: \: \: |2 \\ 3 \: \: \: \: |3 \\ 1 \: \: \: \: \boxed{ {2}^{2} \cdot {2}^{2} \cdot {2}^{2}\cdot3 } \\ \\ \sqrt{ {2}^{2}\cdot {2}^{2} \cdot {2}^{2}\cdot3 } = \\ \sqrt{ {2}^{2} } \sqrt{ {2}^{2} } \sqrt{ {2}^{2} } \sqrt{3} = \\ \sqrt{4} \sqrt{4} \sqrt{4} \sqrt{3} = \\ 2\cdot2\cdot2 \sqrt{3} = \\ 4\cdot2 \sqrt{3} = \\ \bf{8 \sqrt{3} }$