Spiegare gentilmente i ragionamenti e argomentare.
(5 + √(7 + √(1 + √9)))^(1/3)=
=(5 + √(7 + √(1 + 3)))^(1/3)=
=(5 + √(7 + √4))^(1/3)=
=(5 + √(7 + 2))^(1/3)=
=(5 + √9)^(1/3)=
=(5 + 3)^(1/3)=
=8^(1/3) = 2
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Lavora dall'interno come segue:
$\small \sqrt[3]{5+\sqrt{7+\sqrt{1+\sqrt{9}}}}$
$\small \sqrt[3]{5+\sqrt{7+\sqrt{1+3}}}$
$\small \sqrt[3]{5+\sqrt{7+\sqrt{4}}}$
$\small \sqrt[3]{5+\sqrt{7+2}}$
$\small \sqrt[3]{5+\sqrt{9}}$
$\small \sqrt[3]{5+3}$
$\small \sqrt[3]{8}$
$\small 2$