Simplifying a radical expression from it's prime factorization

The video tutorial explains the significance of prime factorization in identifying square roots. It covers both long and short methods for prime factorization and highlights when it is necessary. The instructor demonstrates how to simplify expressions by identifying pairs of numbers or variables, showing that the square root of a pair equals the number itself. The final example simplifies an expression to illustrate the process.

What is the significance of prime factorization in identifying square roots?

Explain the long method and the shorter method for finding square roots as discussed in the text.

How can pairs of numbers be used to simplify square roots?

What numbers could not be combined inside the square root according to the explanation?

What is the final answer when simplifying the expression mentioned in the text?