# Algebra II : Solving and Graphing Radicals

## Example Questions

### Example Question #31 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Subtract two from both sides.

Simplify the equation.

Square both sides.

Subtract  on both sides.

### Example Question #32 : Solving And Graphing Radicals

Solve:

Explanation:

Simplify both sides.

Square both sides.

Subtract two from both sides.

Divide by nine on both sides.

### Example Question #33 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Simplify both sides.

Square both sides.

Divide by two on both sides.

Reduce the fractions.

### Example Question #34 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Square both sides of the equation.

Simplify both sides.

Divide both sides by negative three.

Simplify both fractions.

### Example Question #35 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Subtract six from both sides.

Square both sides.

Subtract 16 from both sides.

Divide by three on both sides.

### Example Question #36 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Divide by negative one to isolate the radical.

The equation becomes:

Square both sides.

Divide by negative nine on both sides.

### Example Question #37 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Solve by first subtracting 16 on both sides.

The equation becomes:

Square both sides.

Subtract three on both sides.

Divide by five on both sides.

### Example Question #38 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Subtract six from both sides.

Simplify both sides.

Cube both sides to eliminate the cube root.

Divide by three on both sides.

### Example Question #39 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Simplify by first subtracting 16 on both sides.

Raise both sides by the fourth power.

Expand the binomial.

Subtract three from both sides.

Divide by three on both sides.

### Example Question #40 : Solving And Graphing Radicals

Solve the equation:

Explanation:

To eliminate the radical, we will need to cube both sides of the equation.

The equation becomes: