Question

$\sqrt[3]{1 + \sqrt[3]{343} }$

Answer 1

the answer is 2




hope it helps :)

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!!}}}$

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Here is your answer.
$\sqrt[3]{1 + \sqrt[3]{343} } \\ \\ = \sqrt[3]{1 + \sqrt[3]{7 \times 7 \times 7} } \\ \\ = \sqrt[3]{1 + {7}^{3 \times \frac{1}{3} } } \\ \\ = \sqrt[3]{1 + 7} \\ \\ = \sqrt[3]{8} \\ \\ = \sqrt[3]{2 \times 2 \times 2} \\ \\ = {2}^{3 \times \frac{1}{3} } \\ \\ = 2$
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