The value of $\sqrt{5+\sqrt[3]{59+\sqrt{21+\sqrt{31+\sqrt[3]{27}}}}}$ is
Answer & explanation
Correct answer: option 1
$\sqrt{5+\sqrt[3]{59+\sqrt{21+\sqrt{13+\sqrt[3]{27}}}}}$
= $\sqrt{5+\sqrt[3]{59+\sqrt{21+\sqrt{13+3}}}}$
= $\sqrt{5+\sqrt[3]{59+\sqrt{21+4}}}$
= $\sqrt{5+\sqrt[3]{59+5}}$
= $\sqrt{5+\sqrt[3]{64}}$
= $\sqrt{5+4}$
= 3
The correct answer is Option (1) → 3