### All Algebra II Resources

## Example Questions

### Example Question #71 : Solving And Graphing Radicals

Solve the equation:

**Possible Answers:**

**Correct answer:**

Cube both sides of the equation.

This will eliminate the radical on the left side.

Divide by three on both sides. This is similar to multiplying one-third on both sides.

The answer is:

### Example Question #72 : Solving And Graphing Radicals

Solve the radical equation:

**Possible Answers:**

**Correct answer:**

Subtract both sides by three.

The equation becomes:

Divide both sides by negative one.

Cube both sides to eliminate the radical.

Add on both sides.

Subtract 64 on both sides.

The answer is:

### Example Question #73 : Solving And Graphing Radicals

Solve the radical equation:

**Possible Answers:**

**Correct answer:**

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

Simplify both sides.

Add one on both sides.

Divide by two on both sides.

The answer is:

### Example Question #74 : Solving And Graphing Radicals

Solve:

**Possible Answers:**

**Correct answer:**

Multiply by on both sides.

Divide by 4 on both sides.

Square both sides to eliminate the radical.

Divide by three on both sides. This is similar to multiplying both sides by one third.

The answer is:

### Example Question #75 : Solving And Graphing Radicals

Solve:

**Possible Answers:**

**Correct answer:**

Multiply both sides by the denominator on the left side.

The equation becomes:

Square both sides to eliminate the radical.

Divide both sides by eight.

Notice that the negative radical solution will not satisfy the original equation.

Rationalize the positive term.

The answer is:

### Example Question #76 : Solving And Graphing Radicals

Solve:

**Possible Answers:**

**Correct answer:**

Raise both sides to the power of four.

Simplify both sides.

Subtract 1 from both sides.

Divide by 32 on both sides.

Reduce this fraction.

The answer is:

### Example Question #77 : Solving And Graphing Radicals

Solve the equation:

**Possible Answers:**

**Correct answer:**

In order to eliminate the radical on both sides, we will need to cube both sides.

Simplify both sides.

Add two on both sides.

Divide by eight on both sides.

Reduce the fractions on both sides.

The answer is:

### Example Question #78 : Solving And Graphing Radicals

Solve:

**Possible Answers:**

**Correct answer:**

Square both sides to eliminate the radical.

Subtract three on both sides.

The equation becomes:

Divide by negative five on both sides.

The answer is:

### Example Question #79 : Solving And Graphing Radicals

Solve the equation:

**Possible Answers:**

**Correct answer:**

Subtract eight from both sides.

Raise both sides by the power of four.

Divide both sides by three.

The answer is:

### Example Question #80 : Solving And Graphing Radicals

Solve:

**Possible Answers:**

**Correct answer:**

Add three on both sides.

Square both sides.

Add nine on both sides.

Simplify both sides.

Divide by 6 on both sides.

The answer is: