Learn how to rationalize the denominator of a cube root

The video tutorial discusses rationalizing denominators using cube roots, highlighting the challenges of simplifying cube roots of numbers like 16. It explores alternative methods for simplification, such as rewriting numbers in different forms, and concludes with a final simplification that results in equivalent fractions. The tutorial emphasizes understanding the process of rationalizing and simplifying expressions involving cube roots.

What is the conventional method to rationalize the denominator when dividing by a cube root?

• Add the cube root of the denominator to both numerator and denominator

• Multiply by the cube root of the denominator on both numerator and denominator

• Multiply by the square root of the denominator

• Subtract the cube root of the denominator from both numerator and denominator

In the alternative approach, how is the number 16 rewritten to simplify the expression?

• As 2 squared

• As 8 squared

• As 4 squared

• As 16 squared

What is the purpose of multiplying by the cube root of 4 in the alternative approach?

• To add complexity to the expression

• To increase the value of the expression

• To change the base of the expression

• To eliminate the cube root from the denominator

What is the simplified form of the expression after applying the alternative approach?

• 3 times the cube root of 4 over 4

• 3 times the cube root of 16 over 16

• 3 times the cube root of 2 over 2

• 3 times the cube root of 8 over 8

What is the equivalent fraction of the simplified expression discussed in the conclusion?

• 3/2

• 3/8

• 3/16

• 3/4