Calcule: 3√2+2√18+3√72.... Pergunta de ideia deJeennii

Jeennii @Jeennii

January 2020 1 48 Report

Calcule: 3√2+2√18+3√72

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alvaroamitai12 Temos que:

$3\sqrt2 + 2\sqrt{18} + 3\sqrt{72} =$
$3\sqrt{2} + 3\cdot\sqrt{2\cdot3\cdot3} + 3\cdot\sqrt{2\cdot2\cdot2\cdot 3\cdot3\cdot3} =$
$3\sqrt{2} + 3\cdot\sqrt{2\cdot3^2} + 3\cdot\sqrt{2^3\cdot3^3} =$
$3\sqrt{2} + 3\cdot3\sqrt2 + 3\cdot6\sqrt{2} =$
$3\sqrt2 + 9\sqrt2 + 18\sqrt2 =$
$30\sqrt2$

Espero ter ajudado.

2 votes Thanks 1

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