Algebra II : Solving Radical Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #11 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Add  on both sides.

 

 

Example Question #12 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Divide  on both sides.

 

 

Example Question #13 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Multiply  on both sides.

 

 

Example Question #14 : Solving Radical Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Subtract  on both sides.

 Divide  on both sides.

Example Question #15 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Square both sides to get rid of the radical.

 Divide  on both sides.

Example Question #16 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

 Square both sides to get rid of the radical. When squaring negative values, they become positive.

 Subtract  on both sides. 

Example Question #17 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

  Square both sides to get rid of the radical. 

 Subtract  on both sides. 

 Add  on both sides.

 Divide  on both sides.

Example Question #18 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Divide  on both sides.

 Square both sides to get rid of the radical. 

 Subtract  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

Example Question #19 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 This is a set-up of a quadratic equation Subtract  on both sides.

  We need to find two terms that are factors of the c term that add up to the b term. 

 

 Subtract  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

Example Question #20 : Solving Radical Equations

Solve:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first square both sides: . Then, solve for x, which is 40.

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