Question

O valor de
$\sqrt{ 8 + \sqrt{14 + \sqrt{6 + \sqrt{4} } } }$
é:

a)
$2 \sqrt{3}$
b)
$3 \sqrt{2}$
c)
$\sqrt{6}$
d)
$2 \sqrt{5}$
e)
$5 \sqrt{2}$

Answer 1

Resolvendo de dentro pra fora:
√4 = 2 
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√6+2 = √8 = 2,8284
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√14 + 2,8284
√16,8284 = 4,1022
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√8 + 4,1022
√12,1022 = 3,4788
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Resposta:
3,4788 ≈ 3,4641
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verificando as respostas alternativas:
a) 2√3 = 3,4641
b) 3√2 = 4,2426
c) √6 = 2,4495
d) 2√5 = 4,4721
e) 5√2 = 7,0711

Alternativa A (a que mais se aproxima  ): 2√3