Mutliplying the Product of Two Radical Expression of the Third Root

The video tutorial explains how to simplify a mathematical expression involving cube roots. The teacher guides through the process of breaking down the expression, simplifying parts of it, and then multiplying the simplified components. The tutorial also covers prime factorization to further simplify the expression and reach the final result. The teacher emphasizes the importance of simplification before multiplication and demonstrates the step-by-step process to achieve the solution.

What is the main challenge in simplifying the initial expression involving cube roots?

• Identifying the coefficients

• Finding the square root of y^3

• Multiplying the terms correctly

• Simplifying the cube root of 5 and 50

How is the cube root of y^3 simplified in the expression?

• It is multiplied by 2

• It remains unchanged

• It is simplified to y

• It is divided by 3

What is the result of multiplying 3y and 2y in the simplification process?

• 6y^2

• 5y^2

• 9y^2

• 12y^2

Which cube number divides 250 in the final simplification?

• 125

• 27

• 8

• 64

What is the final simplified expression for the given problem?

• 20y^2 times the cube root of 3y

• 25y^2 times the cube root of 5y

• 30y^2 times the cube root of 2y

• 15y^2 times the cube root of 4y