Simplifying Cube Roots and Radicals

The video tutorial explains how to multiply the cubed root of x with a binomial using the distributive property. It covers the importance of having the same indexes for multiplication of radicands and demonstrates rewriting numbers in terms of their prime factors. The tutorial also simplifies expressions involving cube roots and identifies like terms, leading to a final simplified expression.

What is the first step in multiplying a cube root by a binomial?

• Divide the radicands

• Subtract the exponents

• Use the distributive property

• Add the coefficients

When can you multiply radicands together?

• When the exponents are different

• When the indexes are the same

• When the coefficients are equal

• When the radicands are prime

What is the result of multiplying cubed root x by 3x squared?

• 3x to the third

• 3x to the second

• 3x to the fifth

• 3x to the fourth

What is the result of multiplying cube root x by 81 x squared?

• 81x to the second

• 81x to the third

• 81x to the fourth

• 81x to the fifth

How is 81 rewritten in terms of its prime factors?

• 3 to the third

• 3 to the fifth

• 3 to the second

• 3 to the fourth

What is the cube root of 81 x squared simplified to?

• 81x

• 3x

• 9x

• 27x

What is the simplified form of cube root of x cubed?

• x to the fourth

• x

• x cubed

• x squared

What is left inside the cube root after simplifying cube root of x cubed?

• x squared

• x

• 3

• Nothing

What is the process of taking out factors from a cube root called?

• Distributing

• Simplifying

• Indexing

• Factoring

What is the simplified form of cube root of 3?

• 27

• 3

• 9

• 1