Simplifying Radicals with Prime Factorization

The video tutorial explains how to simplify radicals using two methods: finding the largest perfect square factor and prime factorization. It provides step-by-step examples for each method, demonstrating how to break down numbers into prime factors and identify perfect squares. The tutorial also covers alternative methods and offers multiple examples to reinforce understanding.

What is the largest perfect square factor of 96?

• 64

• 16

• 4

• 36

What is a prime number?

• A number that has only two factors: 1 and itself

• A number that is a perfect square

• A number that is divisible by 2

• A number that has more than two factors

Which of the following is a prime number?

• 5

• 9

• 4

• 6

How many times does the factor 2 appear in the prime factorization of 96?

• 3

• 4

• 5

• 2

What is the simplified form of the square root of 96?

• 8√3

• 2√24

• 6√4

• 4√6

What is the largest perfect square factor of 216?

• 16

• 36

• 49

• 64

What is the simplified form of the square root of 216?

• 3√24

• 18√2

• 12√3

• 6√6

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

• 7√2

• 2√49

• 3√32

• 14√7

What is the simplified form of the square root of 18?

• 3√2

• 9√2

• 2√9

• 6√3

Which method can be used to simplify radicals if you are not comfortable finding perfect squares?

• Addition

• Long division

• Prime factorization

• Multiplication