Learn how to simplify the 5th root of an expression with numbers and variables

The video tutorial explains how to simplify a radical expression, specifically the fifth root of 32 times Y to the fifth power. It begins by discussing the concept of square roots and extends it to fifth roots. The tutorial covers two methods: prime factorization and rewriting numbers as powers. It demonstrates the simplification of 32 using prime factorization and explains how to simplify Y to the 15th power by breaking it down into Y to the fifth power. The video concludes with the final simplification of the expression to 2Y cubed.

What does the square root of a number represent?

• A number added to itself

• A number multiplied by itself three times

• A number divided by itself

• A number multiplied by itself

Which number raised to the fifth power equals 32?

• 5

• 4

• 2

• 3

How can 32 be expressed using prime factorization?

• 3 * 3 * 3 * 3 * 3

• 5 * 5 * 5 * 5 * 5

• 2 * 2 * 2 * 2 * 2

• 4 * 4 * 4 * 4 * 4

What is the result of taking the fifth root of Y to the 15th power?

• Y squared

• Y to the tenth

• Y to the fifth

• Y cubed

How many times do you multiply Y to the fifth to get Y to the 15th?

• Three times

• Two times

• Four times

• Five times