# Algebra II : Solving and Graphing Radicals

## Example Questions

### Example Question #51 : Solving Radical Equations

Solve the equation:

Explanation:

In order to solve this equation, first add five on both sides.

The equation becomes:

Cube both sides.

Simplify both sides of the equation.

Divide both sides by seven.

### Example Question #52 : Solving Radical Equations

Solve the equation:

Explanation:

Subtract six from both sides.

Simplify the equation.

Take the fourth power of both sides.

Subtract six from both sides.

Divide by two on both sides.

Reduce the fractions.

### Example Question #53 : Solving Radical Equations

Solve the equation:

Explanation:

Subtract two from both sides.

Square both sides.  Use the FOIL method to simplify the right side.

Combine like terms.

The term  can be rewritten as:

Divide by two on both sides.

### Example Question #54 : Solving Radical Equations

Explanation:

Square both sides of the equation.

Divide by four on both sides.

### Example Question #55 : Solving Radical Equations

Explanation:

Subtract five from both sides.

The equation becomes:

Raise both sides by the power of four to eliminate the radical.

Subtract 16 on both sides.

Divide by two on both sides.

### Example Question #56 : Solving Radical Equations

Solve the equation:

Explanation:

Divide by 8 on both sides.

### Example Question #51 : Solving Radical Equations

Evaluate:

Explanation:

Raise both sides by the power of three.

Subtract three from both sides.

Divide both sides by negative nine.

### Example Question #58 : Solving Radical Equations

Solve:

Explanation:

Subtract two from both sides.

Raise both sides by the fourth power.  This will eliminate the radical.

Subtract 81 on both sides.

### Example Question #59 : Solving Radical Equations

Explanation:

Square both sides to eliminate the radical.

Convert the negative exponent into a fraction.

Multiply by nine on both sides to eliminate the fraction.

Subtract 63 on both sides.

Divide by 54 on both sides.

Reduce the fraction.

### Example Question #60 : Solving Radical Equations

Explanation:

Square both sides to eliminate the radical.

The equation becomes:

Divide by five on both sides and combine the product of x-variables.

Cube root both sides.