Simplifying the square root of a square number and exponent

The video tutorial explains how to simplify radical expressions by understanding the role of the root, breaking down numbers into their prime factors, and applying these concepts to simplify expressions like 25X^4. The process involves recognizing the square root and using prime factorization to simplify the expression to 5X^2.

What does the root in a radical expression indicate?

• The number of times a number is added to itself

• The number of times a number is subtracted from itself

• The number of times a number is multiplied by itself

• The number of times a number is divided by itself

How can you express the number 25 in terms of its prime factors?

• 3 * 8.33

• 10 * 2.5

• 5 * 5

• 2 * 12.5

What is the prime factorization of X to the 4th power?

• X * X * X * X

• X * X * X

• X * X

• X

What is the simplified form of the expression sqrt(25X^4)?

• 5X

• 5X^2

• 25X^2

• X^2

Which of the following represents the square root of a number multiplied by itself twice?

• The number halved

• The number itself

• The number squared

• The number cubed