Learn how to rationalize the denominator with a binomial and cube root of a number

The video tutorial demonstrates how to simplify a rational expression by rationalizing the denominator. It begins with an introduction to the concept of using conjugates and then delves into understanding cube roots and simplifying numbers. The tutorial further explains the application of conjugates and the distributive property in expressions. Finally, it covers the difference of squares and completes the simplification process, providing a clear step-by-step guide to solving the problem.

What is the first step in simplifying a rational expression by rationalizing the denominator?

• Subtract the numerator from the denominator

• Multiply by the conjugate

• Add the numerator and denominator

• Divide by the cube root

Why is it important to simplify numbers before performing complex calculations?

• To make the calculations easier and more manageable

• To ensure the numbers are integers

• To avoid using the conjugate

• To make the calculations more challenging

How can the number 16 be rewritten to simplify the cube root calculation?

• As 2 times 8

• As 16 times 1

• As 8 times 2

• As 4 times 4

What is the cube root of 8?

• 2

• 4

• 3

• 8

What is the result of applying the difference of two squares in the simplification process?

• A sum of two squares

• A simplified expression with zero middle terms

• A product of two squares

• A difference of two cubes