Question

considere as seguintes expressões:
me ajudem e pra hoje​

Answer 1

Resposta:

I) V II) V III) F IV) F

Explicação passo-a-passo:

I)  $\sqrt{20} +2\sqrt{5} =4\sqrt{5}$

20 = 2 * 2 * 5

$\sqrt{2*2*5} + 2\sqrt{5} =4\sqrt{5}$

$2\sqrt{5} + 2\sqrt{5} =4\sqrt{5}$

II)

$\sqrt{32} + 3\sqrt{8} =10\sqrt{2} \\\sqrt{2*2*2*2*2} + 3\sqrt{2*2*2} =10\sqrt{2} \\\\2*2\sqrt{2} +3*2\sqrt{2} =10\sqrt{2 \\\\4\sqrt{2} +6\sqrt{2} =10\sqrt{2$

III)

$\sqrt{81} +3\sqrt{16} -2\sqrt{25} =12\\\sqrt{3*3*3*3} +3\sqrt{2*2*2*2} -2\sqrt{5*5} =12\\\\3*3+3*2-2*5=12\\9+6-10=12\\\\15-10=12\\5=12 falso$

IV) $(\sqrt{14}* \sqrt{2} )^2=24\\ (\sqrt{14*2} )^2=24\\ (\sqrt{28} )^2=24\\\\28=24 falso$