Simplifying Radicals with Factor Trees

The video tutorial introduces a new method for factoring, explaining the process in detail. It provides a step-by-step example of factoring numbers, demonstrating how to group and simplify radicals. The tutorial concludes with a summary of the key points covered.

What is the first step in simplifying radicals using the factoring method?

• Identify the largest number that can be factored out.

• Divide the radicand by the smallest prime number.

• Square the radicand.

• Take the square root of the radicand.

After factoring 36, what is the next number you get to factor?

• 3

• 18

• 2

• 9

What pair of numbers is grouped together first for simplification?

• A pair of twos

• A pair of threes

• A pair of fours

• A pair of fives

What is left over after grouping pairs of twos and threes?

• One five

• One four

• One three

• One two

What is the result of multiplying the grouped numbers outside the radical?

• 6

• 9

• 12

• 3

What is the simplified form of the radical after factoring and grouping?

• 3 radical 2

• 9 radical 2

• 6 radical 3

• 6 radical 2

Which of the following is a correct step in simplifying radicals through factoring?

• Adding all factors inside the radical

• Grouping similar factors and taking them out of the radical

• Ignoring prime factors

• Multiplying all factors inside the radical