Multiplying Two Radical Expressions of Fourth Root Together by Simplifying Them First

The video tutorial explains how to handle 4th roots and factorization. It begins with an introduction to the concept of roots and factorization, followed by breaking down numbers like 81 and 32 into their prime factors. The tutorial then demonstrates how to simplify expressions using these factors and apply the 4th root to them. Finally, it covers the final steps in simplification and multiplication, emphasizing the importance of understanding the process step by step.

What is the prime factorization of 81?

• 3 * 3 * 3 * 3

• 9 * 9

• 2 * 2 * 2 * 2

• 4 * 4 * 4

How can you rewrite X^5 to simplify taking the 4th root?

• X^4 * X

• X^3 * X^2

• X^5

• X^2 * X^3

What is the 4th root of Y^4?

• Y

• Y^2

• Y^3

• Y^4

When multiplying expressions with radicals, what should you do with the radicands?

• Subtract them

• Add them

• Divide them

• Multiply them together

What is the result of multiplying 6X Y by the 4th root of 2X^4?

• 6X Y * 4th root of X

• 6X^2 Y * 4th root of X

• 6X Y * 4th root of 2

• 6X^2 Y * 4th root of 2