Lesson Worksheet: Radical Equations Mathematics
In this worksheet, we will practice solving equations that include radical expressions, where the variable is the radicand, by raising each side to a power.
Q5:
Find the solution set of the equation , given that .
- A
- B
- C
- D
- E
Q7:
Given that , find the value of .
Q8:
For what value of is introduced as an extraneous solution to the equation when it is solved in the natural way?
Q9:
In order to solve the equation , Daniel started with
What solutions did Daniel find?
Q11:
Solve .
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- B
- C
- D
- E
Q12:
Find the value of given that .
Q13:
Solve .
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- B
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- D
- E
Q14:
Find the solution set of in .
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- C
- D
Q15:
Solve .
Q16:
Solve .
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- B
- C
- D
- E
Q17:
Consider the following argument for solving :
- .
What mistake was made?
- Asquaring does not give 9
- Bnot checking for extraneous solutions
Q18:
Find the solution set of the equation given that .
- A
- B
- C
- D
- E
Q19:
Solve .
Q20:
Given that , find the value of .
- A
- B
- C
- D
Q21:
Solve .
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- B
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- D
- E
Q22:
Daniel starts to solve as follows:
Finish the solution for him.
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- E
Q23:
Squaring both sides of introduces an extraneous solution. What is that extraneous solution?
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- E
Q24:
What is the solution set of ?
- A
- B
- C
- D
- E
Q25:
Given that , find the value of .
- A11
- B
- C0
- D22
- E33