Question

Raiz quadrada de 476

Answer 1

Explicação passo-a-passo:

476 | 2

238 | 2

119   | 7

17    | 17

1      | 1

MMC = 2² . 7 . 17 = 476

$\sqrt{476}$ = $\sqrt{2^2 * 7 * 17}$

$\sqrt{476}$ = 2$\sqrt{119}$

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ACHANDO O VALOR APROXIMADO...

$\sqrt{x} = x + y / 2 * \sqrt{y }$

$\sqrt{476} = 476 + 484 / 2 * \sqrt{484}$

$\sqrt{476} = 960 / 2 * 22$

$\sqrt{476} = 480/ 22$

$\sqrt{476} = 240/ 11$

$\sqrt{476} = 21,8181...$