The square root of 450 is approximately 21.21. To find the square root, we can start by simplifying the number. The prime factorization of 450 is 2 × 3² × 5². When taking the square root, we can take the square root of each of these factors:
√450 = √(2 × 3² × 5²) = √2 × √(3²) × √(5²) = √2 × 3 × 5 = 15√2.
Since √2 is approximately 1.414, we can calculate 15√2 as follows:
15 × 1.414 ≈ 21.21.
Thus, the square root of 450 is about 21.21. This rounded value is often sufficient for most practical purposes.