Question

$\sqrt[3]{61 + \sqrt[3]{25 + \sqrt[3]{8} } }$
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Answer 1

$\huge{\fbox{\fbox {\mathfrak{Answer:}}}}$

$\implies \sqrt[3]{61 + \sqrt[3]{25 + \sqrt[3]{8} } } \\ \implies \sqrt[3]{61 + \sqrt[3]{25 + \sqrt[3]{2 \times 2 \times 2} } } \\ \implies \sqrt[3]{61 + \sqrt[3]{25 + 2 } } \\ \implies \sqrt[3]{61 + \sqrt[3]{27} } \\ \implies \sqrt[3]{61 + \sqrt[3]{3 \times 3 \times 3} } \\ \implies \sqrt[3]{61 + 3 } \\\implies \sqrt[3]{64} \\\implies \sqrt[3]{4 \times 4 \times 4} \\\implies 4$