Question

qual a raiz quadrada 288

Answer 1

288: 2
144: 2
72: 2
36:2
18:2
9:3
3:3                                 4              2
1      =  2.2.2.2.2. 3.3 = 2    .  2  .  3     

√16 . √9 . √2 = 4.3.√2 = 12√2

Resp.: √288 = 12√2  ou 16,97

Answer 2

Resposta:

$\boxed{ \boxed{ \bf{12 \sqrt{2} } } }$

Explicação passo-a-passo:

$\sqrt{288} = \\ \\ 288 |12 \\ 24 \: \: |12 \\ 2 \: \: \: \: |2 \\ 1 \: \: \: \: \boxed{ {12}^{2} \cdot2} \\ \\ \sqrt{ {12}^{2} \cdot2} = \\ \sqrt{ {12}^{2} } \sqrt{2} = \\ \sqrt{144} \sqrt{2} = \\ \bf{12 \sqrt{2} }$