use the comparison test to determine if sum n = 1 to ∞ (root(n, 4))/(root(n ^ 4 + n ^ 2, 3)) converges or diverges

Question

compare the sum n = 1 to ∞ (root(n, 4))/(root(n ^ 4 + n ^ 2, 3)) to the p-series what does p =?

Answer 1

a_n = n^1/4/(n⁴ + n²)^1/3 < n^1/4/n^4/3 = 1/n^13/12; p = 13/12 > 1. So, given series converges