Find the product of the cube root of two variable expressions

The video tutorial covers the simplification of mathematical expressions, focusing on the identity element and nth roots. It explains the assumptions made when no index is provided, particularly with square roots. The tutorial also delves into the rules of radicals, demonstrating how to apply these rules to simplify expressions. The process of multiplying and simplifying expressions with radicals is illustrated, culminating in a final simplified expression.

What is the assumed index if no number is specified in a radical expression?

• 4

• 3

• 2

• 1

When simplifying sqrt(y^2), what is the result?

• sqrt(y)

• y

• 2y

• y^2

Which of the following expressions can be simplified using the identity element?

• sqrt(x^3)

• sqrt(x^2)

• sqrt(x^4)

• sqrt(x)

What is the rule of product for radicals?

• The quotient of two radicals is a radical

• The difference of two radicals is a radical

• The product of two radicals is a radical

• The sum of two radicals is a radical

If the index is the same, what can you do with the radicands?

• Divide them

• Multiply them

• Subtract them

• Add them

How can the number 18 be broken down to simplify a radical expression?

• 6 * 3

• 9 * 2

• 8 * 2.25

• 12 * 1.5

What is the final simplified form of 14XY times 3 sqrt(2XY)?

• 42XY sqrt(2XY)

• 28XY sqrt(2XY)

• 42XY sqrt(3XY)

• 28XY sqrt(3XY)