Question

simplifique os radicais e reduza os termos ?

$2 \sqrt{8} - 3 \sqrt{18} + \sqrt{32} - 2 \sqrt{50}$

ALGUÉM ME AJUDAAAAA??????????​

Answer 1

Explicação passo-a-passo:

Veja que:

$2\sqrt{8}=2\cdot2\sqrt{2}=4\sqrt{2}$

$3\sqrt{18}=3\cdot3\sqrt{2}=9\sqrt{2}$

$\sqrt{32}=4\sqrt{2}$

$2\sqrt{50}=2\cdot5\sqrt{2}=10\sqrt{2}$

Assim:

$2\sqrt{8}-3\sqrt{18}+\sqrt{32}-2\sqrt{50}=4\sqrt{2}-9\sqrt{2}+4\sqrt{2}-10\sqrt{2}$

$2\sqrt{8}-3\sqrt{18}+\sqrt{32}-2\sqrt{50}=(4-9+4-10)\cdot\sqrt{2}$

$2\sqrt{8}-3\sqrt{18}+\sqrt{32}-2\sqrt{50}=-11\sqrt{2}$