### Question Description

**Post **a 150-word response to one the discussion prompts by Day 5 in the discussion area below:

**Prompt 1**

**View** one of the following Week 1 videos:

- Patrick Just Math Tutorials: Radical Notation and Simplifying Radicals
- Khan Academy: Adding and Simplifying Radicals
- Khan Academy: Simplifying Cube Root Expressions

**Answer** the following questions:

- In the process of simplifying a radical expression, a student has provided you a decimal number as an answer. Is the student's answer correct? Why or why not? Explain your answer.

** **

**Prompt 2**

**View** one of the following Week 1 videos:

- Patrick Just Math Tutorials; Radical Notation and Simplifying Radicals
- Patrick Just Math Tutorials: Radicals: Simplifying Radical Expressions Involving Variables - Ex1
- Khan Academy: Simplifying Cube Root Expressions

**Answer **the following questions:

- What is the difference between radical equations and fractional exponents? How are they alike? Provide an example in your explanation.

** **

**Prompt 3**

**View** the following Week 1 video:

- Distance Formula and Finding the Distance between Two Points - Example 1 by Patrick Just Math Tutorials

**Answer **the following questions:

- Is finding the distance between 2 points in the rectangular coordinate system related to the Pythagorean theorem? Why or why not? Provide an example in your answer.

** **

**Prompt 4**

**View** the following Week 1 video:

- Khan Academy: Using the Quadratic Formula: Number of Solutions

**Answer **the following question:

- When using the quadratic formula to solve quadratic equations, how do you know how many solutions you should have in the end? Provide an example in your explanation.

**Prompt 5**

**View** one the following Week 1 videos:

- Solving an Equation Involving a Single Radical (Square Root) - Ex 1 by Patrick Just Math Tutorials
- Solving an Equation Involving a Single Radical (Square Root) - Ex 2 by Patrick Just Math Tutorials
- Solving an Equation Involving a Single Radical (Square Root) - Ex 3 by Patrick Just Math Tutorials

**Answer **the following question:

- Explain the method used to solve an equation containing radical expressions. Why is it necessary to check the solutions for such an equation? Provide an example in your explanation.

*Note*: All Khan Academy content is available for free at www.khanacademy.org.

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