Question

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Calcule o produto a seguir
$(\sqrt{2a^2b^2c^4}).(\sqrt{2}d^2a^4c^3)$

Answer 1

Oie, Td Bom?!

$= \sqrt{2a {}^{2} b {}^{2}c {}^{4} } \: . \: ( \sqrt{2} d {}^{2} a {}^{4} c {}^{3} )$

$= \sqrt{a {}^{2} } \sqrt{b {}^{2} } \sqrt{c {}^{4} } \sqrt{2} \: . \: ( \sqrt{2} d {}^{2} a {}^{4} c {}^{3} )$

$= abc {}^{2} \sqrt{2} \: . \: ( \sqrt{2} d {}^{2} a {}^{4} c {}^{3} )$

$= \sqrt{2} abc {}^{2} \: . \: ( \sqrt{2} a {}^{4} c {}^{3} d {}^{2} )$

$= \sqrt{2} abc {}^{2} \sqrt{2} a {}^{4} c {}^{3} d {}^{2}$

$= 2abc {}^{2} a {}^{4} c {}^{3} d {}^{2}$

$= 2a {}^{1} bc {}^{2 + 3} a {}^{4} d {}^{2}$

$= 2a {}^{1 + 4} bc {}^{5} d {}^{2}$

$= 2a {}^{5} bc {}^{5} d {}^{2}$

Att. Makaveli1996