Question

Express 192^(1/4) in simplest radical form

Answer 1

2×12^(1/4)

Explanation:

Step 1: Express 192 as a multiple of primes:

192=2×2×2×2×2×2×3= 2^4 × 2^2 × 3

Step 2: We can take the fourth root of 2^4 and get 2 but we cannot take the fourth root of 2^2 or 3.

Step 3: Now we have 2 × fourth root of 2^2 ×3 = 2 × 12^(1/4)