Use Prime Factorization to Simplify the Square Root of a Number, sqrt(32)

The video tutorial explains how to simplify mathematical expressions by breaking down numbers into factors. It covers strategies for dividing even and odd numbers, such as using factors like 2, 3, 5, and 7. The tutorial demonstrates how to decompose numbers into smaller factors and pair them to simplify expressions, ultimately leading to a simplified form like 4 sqrt 2.

What is a good strategy to simplify an even number?

• Divide by three

• Divide by two

• Divide by five

• Divide by seven

If a number ends in zero, which factor should you consider dividing by?

• Two

• Five

• Seven

• Three

What is the first step in breaking down the number 16?

• Divide by three

• Divide by four

• Divide by two

• Divide by five

How many pairs of twos can be taken out from the number 16?

• One pair

• Four pairs

• Two pairs

• Three pairs

What is the simplified form of 16 when expressed with pairs of twos?

• 3 sqrt 2

• 5 sqrt 2

• 4 sqrt 2

• 2 sqrt 2