Learn how to divide two radical expressions without rationalizing the denominator

The video tutorial explains how to simplify radical expressions, focusing on cube roots. It begins with an introduction to simplifying radicals and the importance of practicing simplification before rationalizing denominators. The tutorial then covers cube roots, listing common cube numbers, and demonstrates how to simplify a given radical expression by identifying the largest cube number that divides evenly into the expression. The process involves rewriting numbers and variables under the radical, simplifying them, and applying the property of roots. The tutorial concludes with a simplified expression and emphasizes the importance of understanding these concepts.

What is the first step in simplifying a radical expression according to the text?

How can you determine the largest cube number that divides into a given number?

Explain why X^2 and Y^2 remain under the radical when simplifying.

What is the simplified version of the expression involving the cube root of 6X^2Y^2?

Describe the process of rewriting sqrt(a) / sqrt(b) as sqrt(a / b).