Simplifying Square Roots and Factor Trees

The video tutorial explains how to simplify radicals without variables by using factor trees. It begins with an example of simplifying the square root of 14 by breaking it down into its prime factors and identifying pairs to simplify the expression. The process is repeated with the number 72, demonstrating how to create a factor tree, identify pairs, and simplify the square root. The tutorial aims to help viewers understand the method of simplifying radicals through practical examples.

What is the first step in simplifying radicals?

• Multiply the numbers

• Create a factor tree

• Divide the numbers

• Add the numbers

When simplifying the square root of 28, which pair of numbers is identified?

• Pair of threes

• Pair of sevens

• Pair of twos

• Pair of fives

What is the simplified form of the square root of 28?

• 2 square root 7

• 3 square root 5

• 4 square root 6

• 5 square root 2

In the factor tree for 72, which pair of numbers is identified first?

• Pair of fours

• Pair of sevens

• Pair of twos

• Pair of fives

What is the simplified form of the square root of 72?

• 6 square root 2

• 4 square root 3

• 5 square root 2

• 7 square root 1