Solving Radical Equations 1
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Lesson Summary:
In this lesson on solving radical equations, the power rule is introduced as a helpful tool. By squaring both sides of an equation, solutions can be found more easily, but it is important to check these solutions in the original equation, as some may not be valid. The process to solve a radical equation is outlined, including steps to isolate the radical, raise both sides to the power of the index, and repeat this process if there are multiple radicals. Finally, all solutions must be checked in the original equation to ensure their validity.
Lesson Description:
Learn to solve radical equations.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is a radical?
- How do you solve a radical equation?
- Why can you square both sides of an equation if there are radicals on both sides?
- Why are the answers sometimes not correct solutions when you check them after squaring both sides of a radical equation?
- How do you solve and check sqrt(x) = 4?
- What does x equal if sqrt(x + 4) = 5?
- What is the first step in solving a radical equation?
- How do you solve sqrt(x - 3) - 2 = 4?
- What is the solution to sqrt x = -3?
- Why can't a square root be negative?
- What is the list of steps for solving a radical equation?
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Staff Review
This lesson introduces some very important concepts for solving radical equations. You will learn how to square both sides of an equation, and then you will see why it is so critically important to check your solutions, because after squaring both sides, you might have introduced some answers which are not solutions to the original equation. Great introductory tutorial.
