
Solving Radical Equations: Key Concepts and Examples

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving radical equations?
Isolate the radical
Square both sides
Check for extraneous solutions
Divide by the coefficient
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean to isolate the radical in an equation?
Eliminate the radical by squaring
Move the radical to one side of the equation
Combine all radicals to one side
Simplify the radical expression
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do after isolating the radical in an equation?
Check for extraneous solutions
Raise both sides to the power of the index
Factor the equation
Subtract the radical
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving a radical equation, why is it necessary to square both sides?
To isolate the variable
To prepare for factoring
To simplify the equation
To eliminate the radical
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you handle a radical equation with radicals on both sides?
Convert to rational exponents
Isolate one radical first
Raise both sides to the power of the index
Combine like terms
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of radical equations, what does raising both sides to the power of the index accomplish?
It isolates the variable
It simplifies the radical
It balances the equation
It eliminates the radical
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an extraneous solution?
A solution that eliminates the radical
A solution derived algebraically that does not satisfy the original equation
A solution that simplifies the equation
A solution that always validates
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