Question

determine o valor das depressões
A)
$\sqrt{31 + \sqrt{21 + \sqrt{13 + \sqrt{9 = } } } }$
B)
$\sqrt[3]{216} + \sqrt{289}$
C)
$\sqrt[3]{ - 27} \div \sqrt{289 = }$
​

Answer 1

Resposta:

A) 6        B) 23        C) -3/17

Explicação passo a passo:

A)

$\sqrt{31+\sqrt{21+\sqrt{13+\sqrt{9} } } } \\\\\sqrt{31+\sqrt{21+\sqrt{13+\sqrt{3^{2} } } } }\\\\\sqrt{31+\sqrt{21+\sqrt{13+3 } } }\\\\\sqrt{31+\sqrt{21+\sqrt{16 } } }\\\\\sqrt{31+\sqrt{21+\sqrt{4^{2} } } }\\\\\sqrt{31+\sqrt{21+4 } }\\\\\sqrt{31+\sqrt{25 } }\\\\\sqrt{31+\sqrt{5^{2} } }\\\\\sqrt{31+5}\\\\\sqrt{36}\\\\\sqrt{6^{2} } \\\\6$

B)

$\sqrt[3]{216} +\sqrt{289} \\\\\sqrt[3]{6^{3} } +\sqrt{17^{2} } \\\\6+17\\\\23$

C)

$\sqrt[3]{-27} \div\sqrt{289} \\\\\sqrt[3]{(-3)^{3} } \div\sqrt{17^{2} } \\\\(-3)\div17\\\\-\frac{3}{17}$