Question

If $\sqrt[4]{\,4\sqrt[4]{\,4\sqrt[4]{\,4\sqrt[4]{4}\,}\,}\,} = 2^{\frac{a}{b}}$, where $\frac{a}{b}$ is in the reduced form, then $a+b =$ ?

• A. 213
• B. 212
• C. 211
• D. 210

Hint:

Nested radicals often form geometric series in exponents—convert everything to powers.

Answer 1

The Correct Option is A