Simplifying Square Roots and Prime Factors

The video tutorial explains how to simplify the square root of 72 using a factor tree. The instructor breaks down 72 into its prime factors, rewrites the expression under the square root, and demonstrates how to pull out pairs of numbers to simplify the expression. The final simplified form is presented as 6 times the square root of 2, with an explanation of the process.

What method does the teacher prefer to use for simplifying square roots?

• Using a graph

• Using a logarithm table

• Using a factor tree

• Using a calculator

What is the first step in breaking down 72 using a factor tree?

• Divide by 5

• Divide by 3

• Divide by 7

• Divide by 2

Which of the following is a prime factor of 72?

• 6

• 2

• 4

• 8

What do you do with pairs of prime numbers under the square root?

• Multiply them by 10

• Pull them out as a single number

• Leave them as they are

• Add them together

After pulling out pairs, what is left under the square root sign?

• A single 7

• A single 5

• A single 3

• A single 2

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

• 4 times the square root of 3

• 5 times the square root of 2

• 7 times the square root of 3

• 6 times the square root of 2

Why is it easier to use a factor tree for simplifying square roots?

• It is faster than other methods

• It visually breaks down the number into prime factors

• It uses advanced mathematical concepts

• It requires less calculation