How can I solve this problem $\underbrace{\sqrt{30 \sqrt{30 \sqrt{30 ...}}}}_{10 \text{ times}}$
Should I calculate it straight forward way adding the indices
2026-03-29 21:40:45.1774820445
How can I solve this problem $\sqrt{30 \sqrt{30 \sqrt{30 ...}}}$
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HINT:
$$=30^{1/2+1/4+\cdots+\text{ up to ten terms}}$$
Observe that the exponent is in Geometric Series