Question

Calculando (✓ 3 +✓ 2 )² , encontraremos

a)4+5✓6
b)9✓6
c)5+2✓6
d)6✓6

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Answer 1

A alternativa correta é c) 5 + 2√6.

$= ( \sqrt{3} + \sqrt{2} ) {}^{2}$

$= \sqrt{ 3} {}^{2} + 2 \sqrt[3]{3} \sqrt{2} + 2 \sqrt{2} {}^{2}$

$= 3 + 2 \sqrt{6} + 2$

$\boxed{ = 5 + 2 \sqrt{6} }$

Att. NLE Top Shotta