Question

A expressão com radicais 4√18-3√8 é?

Answer 1

Oie, tudo bom?

$= 4 \sqrt{18} - 3 \sqrt{8}$

$= 4 \sqrt{3 {}^{2} \: . \: 2} - 3 \sqrt{2 {}^{3} }$

$= 4 \sqrt{3 {}^{2} } \sqrt{2} - 3 \sqrt{2 {}^{2 + 1} }$

$= 4 \: . \: 3\sqrt{2} - 3 \sqrt{2 {}^{2} \: . \: 2 {}^{1} }$

$= 12 \sqrt{2} - 3 \sqrt{2 {}^{2} \: . \: 2}$

$= 12 \sqrt{2} - 3 \sqrt{2 {}^{2} } \sqrt{2}$

$= 12 \sqrt{2} - 3 \: . \: 2 \sqrt{2}$

$= 12 \sqrt{2} - 6\sqrt{2}$

$= (12 - 6) \sqrt{2}$

$\boxed{ = 6 \sqrt{2} }$

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