### All Algebra II Resources

## Example Questions

### Example Question #11 : Solving Radical Equations

Solve for .

**Possible Answers:**

**Correct answer:**

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:**

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:**

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:**

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:**

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:**

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:**

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:**

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:**

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:**

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