Simplifying Square and Cube Roots Techniques

This video tutorial teaches how to simplify square and cube roots using two main techniques: dividing out perfect squares or cubes and using prime factorization. The instructor provides examples for both square and cube roots, demonstrating how to break down numbers into their prime factors and identify groups of numbers to simplify the radicals. The video also includes a shout-out to another educator and offers a downloadable worksheet for additional practice.

What is one method to simplify the square root of a number?

• Add 10 to the number

• Divide out perfect squares

• Multiply by 2

• Subtract 5 from the number

What is the square root of 20 simplified?

• 10√2

• 4√5

• 5√2

• 2√5

Which of the following is a perfect square?

• 20

• 16

• 8

• 30

What is the simplified form of the square root of 108?

• 3√6

• 9√2

• 12√3

• 6√3

What is the simplified form of the square root of 98?

• 7√2

• 3√7

• 14√2

• 2√7

What is the simplified form of the square root of 392?

• 21√2

• 7√2

• 14√2

• 28√2

What does the index in a cube root indicate?

• The number of prime factors

• The number of times a number is multiplied by itself

• The number of groups of three you need

• The number of perfect squares

What is the cube root of 56 simplified?

• 3∛7

• 5∛7

• 2∛7

• 4∛7

What is the simplified form of the cube root of 144?

• 2∛18

• 4∛18

• 6∛18

• 3∛18

Where can you find additional practice worksheets for simplifying radicals?

• In the video description

• In the video itself

• In the comments section

• On the teacher's website