Tutorial Simplify and Multiply the Cube Root of Two Numbers

The video tutorial demonstrates how to simplify radical expressions, focusing on cube roots. It begins with an introduction to simplifying radicals, followed by using prime factorization and cubed numbers to rewrite radicans. The tutorial then covers multiplying and simplifying cube roots, concluding with the final simplification steps. The process involves recognizing cubed numbers, rewriting expressions, and applying rules of radicals to achieve the simplified form.

What is the first step in simplifying a radical expression involving cube roots?

• Multiply all numbers together

• Factorize the numbers and find groups of three of the same prime factors

• Divide the numbers by their greatest common divisor

• Identify pairs of prime factors

How can you rewrite the number 16 as a product of a cubed number?

• 16 = 2 * 8

• 16 = 4 * 4

• 16 = 8 * 2

• 16 = 2 * 2 * 2

What is the cube root of 8?

• 3

• 2

• 1

• 4

When multiplying cube roots, what is the result of multiplying the cube root of 4 by the cube root of 2?

• Cube root of 12

• Cube root of 8

• Cube root of 16

• Cube root of 6

What is the final simplified result of the expression 7 times the cube root of 8 * 4 * 2 times the cube root of 8 * 2?

• 112

• 116

• 120

• 128