Math tutorial for combining radical expressions by simplifying first

The video tutorial covers factorization using a factor tree method. It demonstrates breaking down numbers into their prime factors and simplifying expressions involving square roots. The instructor explains how to simplify terms by taking square roots of pairs and combining like terms to achieve a final simplified expression.

What is the result of breaking down the number 12 using a factor tree?

• 3 * 2 * 2

• 4 * 3

• 3 * 4

• 2 * 6

Which of the following is a correct factorization of 75?

• 5 * 15

• 25 * 3

• 10 * 7.5

• 30 * 2.5

Why is it important to identify pairs of numbers in factorization?

• To simplify addition

• To simplify multiplication

• To take square roots easily

• To divide numbers

What is the simplified form of the expression after combining like terms?

• 6 sqrt 3

• 5 sqrt 3

• 7 sqrt 3

• 8 sqrt 3

How do you simplify the expression 2 sqrt 3 + 5 sqrt 3 - sqrt 3?

• 6 sqrt 3

• 9 sqrt 3

• 8 sqrt 3

• 7 sqrt 3