How to Simplify the Radical of 45

The video tutorial explains how to simplify radicals, focusing on the example of sqrt(45). It begins by discussing the importance of identifying square numbers and memorizing them. The tutorial then demonstrates the process of simplifying sqrt(45) by expressing it as a product of square numbers, specifically 9 and 5. The instructor also explores alternative factorizations, such as 15 and 3, and explains why they are not useful for simplification. The final simplified form is presented as 3 times the square root of 5.

What is the final simplified form of sqrt(45) as presented in the text?

Why can't sqrt(15) or sqrt(3) be used to simplify sqrt(45)?