Question

determine o valor de x
$\sqrt{57 + \sqrt{46 + \sqrt{5 + \sqrt{16} } } }$
​

Answer 1

Resposta:

x=8

Explicação passo-a-passo:

$x=\sqrt{57+\sqrt{46+\sqrt{5+\sqrt{16}}}}\\x=\sqrt{57+\sqrt{46+\sqrt{5+4}}}\\x=\sqrt{57+\sqrt{46+\sqrt{9}}}\\x=\sqrt{57+\sqrt{46+3}}\\x=\sqrt{57+\sqrt{49}}\\x=\sqrt{57+7}\\x=\sqrt{64}\\x=8$