# Algebra II : Solving and Graphing Radicals

## Example Questions

### Example Question #11 : Solving Radical Equations

Solve for .

Explanation:

Square both sides to get rid of the radical.

### Example Question #12 : Solving Radical Equations

Solve for .

Explanation:

Square both sides to get rid of the radical.

Divide  on both sides.

### Example Question #13 : Solving Radical Equations

Solve for .

Explanation:

Square both sides to get rid of the radical.

Multiply  on both sides.

### Example Question #14 : Solving Radical Equations

Solve for

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 .

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 .

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 .

Explanation:

Square both sides to get rid of the radical.

Subtract  on both sides.

Divide  on both sides.

### Example Question #18 : Solving Radical Equations

Solve for .

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 .

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.

Solve: