Answer: The square root of 45 is a like radical to 3 x √5.
To see why, we can simplify each radical using the product rule of radicals:
3 x √5 = √(3^2 x 5) = √45
Similarly, we can simplify the square root of 45 using the prime factorization of 45:
√45 = √(3 x 3 x 5) = 3√5
Therefore, 3 x √5 is a like radical to √45, and vice versa.
Explanation: