Question

Sabendo que x = 9, calcule o valor da expressão abaixo
$\sqrt{31 + \sqrt{21 + \sqrt{14 + \sqrt{1 + \sqrt{ \times } } } } }$

Answer 1

Resposta:

Explicação passo-a-passo:

$\sqrt{31+\sqrt{21+\sqrt{14+\sqrt{1+\sqrt{x}}}}} \\\\=\sqrt{31+\sqrt{21+\sqrt{14+\sqrt{1+\sqrt{9}}}}} \\\\=\sqrt{31+\sqrt{21+\sqrt{14+\sqrt{1+3}}}}\\\\=\sqrt{31+\sqrt{21+\sqrt{14+\sqrt{4}}}}\\\\=\sqrt{31+\sqrt{21+\sqrt{14+2}}}\\\\=\sqrt{31+\sqrt{21+\sqrt{16}}}\\\\=\sqrt{31+\sqrt{21+4}}\\\\=\sqrt{31+\sqrt{25}}\\\\=\sqrt{31+5}\\\\=\sqrt{36}\\\\=6$