Final answer:
The simplified form of √45 is 3√5.
Step-by-step explanation:
To simplify the square root of 45, we can break it down into the product of its prime factors. The prime factorization of 45 is 3 x 3 x 5. We can then take the square root of each prime factor: √(3 x 3 x 5) = √(3 x 3) x √5 = 3√5. Therefore, the simplified form of √45 is 3√5, which corresponds to option B.
Learn more about simplifying square roots