Question

a raiz quadrada de 216

Answer 1

216 | 2
108 | 2
  54 | 2
  27 | 3
    9 | 3
    3 | 3
    1 | 

√216 = √2 x 2 x 2 x 3 x 3 x 3
√216 = √4 x √2 x √9 x √3
√216 = 2 x √2 x 3 x √3
√216 = 2 x 3 x √2 x √3
√216 = 6√6

Answer 2

Resposta:

$\boxed{ \boxed{ \bf{6 \sqrt{6} } } }$

Explicação passo-a-passo:

$216 |2 \\ 108 |2 \\ 54 \: \: |2 \\27 \: \: | 3 \\ 9 \: \: \: \: |3 \\ 3 \: \: \: \: |3 \\ 1 \: \: \: \: \boxed{ {2}^{2} \cdot2\cdot {3}^{2} \cdot3} \\ \\ \sqrt{ {2}^{2}\cdot2\cdot {3}^{2} \cdot3 } = \\ \sqrt{ {2}^{2} } \sqrt{2} \sqrt{ {3}^{2} } \sqrt{3} \\ \sqrt{4} \sqrt{2} \sqrt{9} \sqrt{3} = \\ 2\cdot3 \sqrt{2} \sqrt{3 } = \\ 6 \sqrt{2\cdot3} = \\ \bf{6 \sqrt{6} }$