2. RADICAL MATHEMATI CAL

3. Try these:

4. In this lesson you will learn... How to solve radical equation. discover extraneous solutions. Use radical equations to solve real world problems.

5. Let’s look at some examples of how radical equations are used in real world situations before we begin solving them.

6. We are going to see how radicals are used in sailing.

7. We can use a radical equation to solve this problem. Daniel and Clair are sailing on a sailboat. They find the hull speed to be 10 nautical miles per hour. What is the length of the sailboat’s waterline?

8. Information we need: Formula-- Hull speed ( h )—the fastest speed that a sailboat can travel. Waterline length ( l )—the length of the line made by the water’s edge when the boat is full.

9. We will look at this question a little later. Things we need to ask ourselves: What do we need to isolate to solve the equation? How can we isolate it? How can we remove the radical?