Simplifying Radicals with Variables

The video tutorial explains how to simplify radicals with variables by expressing them in terms of squares or cubes. It covers both even and odd powers, handling mixed variables, and complex examples involving non-perfect squares. The tutorial also includes a section on cube roots, providing a comprehensive understanding of simplifying radicals.

What is the square root of x^2?

• x

• x^2

• 2x

• x^3

How can x^4 be written to simplify its square root?

• x^4

• x^3 * x

• x^2 * x

• x^2 * x^2

What is the simplified form of the square root of x^6?

• x^4

• x^2

• x^3

• x^5

How do you handle the square root of x^5?

• x^2 * x

• x^2 * x^2

• x^3

• x^2 * x^3

When simplifying the square root of x^4 y^3, what is the result?

• x^3 y

• x^2 y

• x^2 y^2

• x y^2

What is the simplified form of the square root of 25x^2y^5?

• 5x^2y^2

• 5x^2y

• 5xy^2

• 5xy^2√y

How do you simplify the square root of 24?

• 3√8

• 2√6

• 4√6

• 6√4

What is the cube root of 16?

• 2√8

• 2√2

• 2√4

• 2√16

How many sets of y^3 can be made from y^8?

• 2 sets

• 2 sets with 2 left over

• 3 sets

• 4 sets

What happens to z^2 when taking the cube root?

• It comes out of the radical

• It becomes z^3

• It becomes z

• It stays under the radical