Respostas

2014-04-14T19:39:03-03:00
Olá, Camillapacheeco.

Temos que fatorar o número 2352:

2352 | 2
1176 | 2
588   | 2
294   | 2
147   | 3
49     | 7
7       | 7
1

Portanto: 2352 = 2^2 * 2^2 * 3 * 7^2

Substituindo e retirando da raiz:

\sqrt{2352} =  \sqrt{2^2*2^2*3*7^2}  = 2*2*7 \sqrt{3} = 28 \sqrt{3}
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2014-04-14T19:39:13-03:00
√simplificando essa espressão √ 2352 obtemos

PARA SIMPLIFICAR     temos que FATORAR

√ 2352                        2352| 2
                                   1176| 2
                                     588| 2
                                     294| 2
                                     147| 3
                                       49| 7
                                         7| 7
                                            1
então

√ 2352 = 2.2.2.2.3.7.7 = 2².2².3¹.7²
√ 2352 = 2.2.7√3  = 28√3                                         
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