Question

Determine o valor de :

$\sqrt[5]{-2+} \sqrt{7+} \sqrt{3+} \sqrt[3]{1}$

Answer 1

$\sqrt[5]{ -2+\sqrt{7+ \sqrt{ 3+\sqrt[3]{1} } } } }\\\\\\ \sqrt[5]{-2+ \sqrt{7+ \sqrt{3+1} }} \\\\\\ \sqrt[5]{-2+ \sqrt{7+ \sqrt{4} } } \\\\\\ \sqrt[5]{-2+ \sqrt{7+2} } \\\\\\\sqrt[5]{-2+ \sqrt{9} } \\\\\\ \sqrt[5]{-2+3} \\\\ \sqrt[5]{1} =\boxed{\boxed{1}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$