How to simplify the square root of an expression

The video tutorial explains how to simplify expressions involving square roots using prime factorization and an alternative method. It begins by demonstrating the use of prime factorization to simplify expressions and then introduces a method that involves rewriting numbers as squared numbers. The tutorial emphasizes understanding square numbers and their role in simplification, providing examples to illustrate the process.

What is the result of taking the square root of X^2?

• X

• X^2

• 0

• 2X

Which of the following cannot be paired and must remain under the radical?

• 3 and 2

• X and Y

• X and 3

• Y and 2

What is the simplified form of 3*X^2*y*6?

• 3X^2y

• 3X^2y*6

• 3Xy*6

• X^2y*6

How can the number 54 be rewritten using square numbers?

• 3*18

• 6*6

• 2*27

• 9*6

What is the square root of 9?

• 6

• 1

• 9

• 3