Answer:
We can substitute the given values of p, m, and n into the formula for h:
h = p√(m^2 + n)
h = 3√(6^2 + 20)
h = 3√(36 + 20)
h = 3√56
We can simplify this by factoring 56 into its prime factors:
h = 3√(2^3 × 7)
h = 3 × √(2^2 × 7) × √2
h = 3 × 2√7
Therefore, when p = 3, n = 20, and m = 6, the value of h is 6√7 or approximately 13.42.