Algebra 2 - Simplifying square roots to prepare for imaginary numbers, root(9), root(20)

The video tutorial reviews the concept of square roots, starting with perfect squares like sqrt 9, which equals 3. It then explores non-perfect squares, such as sqrt 20, which cannot be simplified to an integer and is therefore irrational. The tutorial explains how to simplify such square roots by factoring them into products of square numbers, using sqrt 4 as an example. The session concludes with a practice on simplifying square roots.

Describe the process of simplifying the square root of a number that does not yield an integer.

What is the significance of finding a square number when simplifying square roots?