Simplifying Square Roots Challenge

This video tutorial covers simplifying square roots, starting with a review of perfect squares. It provides examples of simplifying square roots, including those with variables, and discusses advanced techniques. The tutorial emphasizes the importance of recognizing perfect squares and offers practice problems to reinforce learning.

What is the square root of 32 simplified?

• 4√2

• 5√2

• 6√2

• 3√2

Which number is a perfect square that divides 200 evenly?

• 150

• 100

• 25

• 50

What is the simplified form of the square root of 200?

• 20√2

• 10√2

• 10√3

• 15√2

Which perfect square divides into 405 to simplify its square root?

• 36

• 49

• 81

• 64

What is the simplified form of the square root of 405?

• 8√5

• -8√5

• 9√5

• -9√5

What is the square root of x squared?

• x^2

• 2x^2

• 2x

• x

How do you simplify the square root of x to the sixth?

• x^3

• x^2

• 2x^3

• x^6

What is the result of simplifying the square root of a^4b^7?

• ab^3√b

• a^2b^3.5

• a^2b^3√b

• a^2b^3.5√b

What is the largest perfect square that divides into 12?

• 3

• 4

• 6

• 2

What is the simplified form of the square root of 12x^3y^4?

• 2x^2y√3

• 2xy^2√3

• 2x^2y^2√3

• 2xy^2√3x