Understanding Fifth Roots

The video tutorial explains how to calculate the fifth root of numbers like 32 and 243. It begins with a basic introduction to fifth roots, followed by a detailed calculation of the fifth root of 32 using factoring. The tutorial then tackles the more complex fifth root of 243, again using factoring and trial and error methods. The video emphasizes understanding the process of finding integer solutions for fifth roots.

What is the definition of a fifth root?

• A number that, when multiplied by itself four times, equals the original number.

• A number that, when multiplied by itself five times, equals the original number.

• A number that, when multiplied by itself three times, equals the original number.

• A number that, when multiplied by itself six times, equals the original number.

What is the fifth root of 32?

• 4

• 3

• 2

• 5

Which method was used to find the fifth root of 32?

• Graphical method

• Using a calculator

• Factoring method

• Trial and error

What is the fifth root of 243?

• 4

• 6

• 5

• 3

Which number is not a factor of 243?

• 3

• 9

• 27

• 2

What is the first step in the factoring method for finding the fifth root of 243?

• Check divisibility by 4

• Check divisibility by 2

• Check divisibility by 5

• Check divisibility by 3

What is the result of 4 to the fifth power?

• 256

• 1024

• 243

• 512

Which method can be used as an alternative to factoring for finding fifth roots?

• Trial and error

• Using a calculator

• Using logarithms

• Graphical method

What is the fifth power of 1?

• 5

• 0

• 1

• 10

If a number's fifth power is 243, what is the number?

• 5

• 3

• 4

• 2