Answer: So, the square root of 1286 is approximately 25.34.
Explanation: To find the square root of 1286 by prime factorization, follow these steps: 1. Find the prime factorization of 1286: 1286 = 2 × 643 2. Take the square root of each prime factor: 2 × 643 3. [ Calculate the square root of 643, which is an irrational number: 643 25.34 (rounded to two decimal places)