Final answer:
The square root of 450, simplified by factoring its prime factors, is 15√2, so the correct answer in non-decimal form is a) 15√2.
Step-by-step explanation:
The question asks for the square root of 450 not in decimal form. To simplify the square root of 450, we can factor it into its prime factors and take out pairs of factors from under the square root. The prime factorization of 450 is 2 × 32 × 52. We can pair up the 32 and 52 and bring them out as a single 3 and 5, respectively. Thus, the square root of 450 can be simplified as:
√450 = √(2 × 32 × 52)
= 3 × 5 × √2
= 15√2
Therefore, the correct answer in non-decimal form is a) 15√2.