MTH 220 Week 1 Participation Prompt Week 1, Day 5 (Saturday)

In this learning activity, discuss with the other members of your group your experiences with radicals.

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.