# Algebra II : Complex Imaginary Numbers

## Example Questions

### Example Question #11 : Complex Imaginary Numbers

Simplify:

Explanation:

To subtract complex numbers, subtract the real terms, then subtract the imaginary terms.

### Example Question #12 : Complex Imaginary Numbers

Simplify:

Explanation:

To subtract complex numbers, subtract the real terms, then subtract the imaginary terms.

### Example Question #1 : Irrational Numbers

Simplify:

Explanation:

Start by using FOIL. Which means to multiply the first terms together then the outer terms followed by the inner terms and lastly, the last terms.

Remember that , so .

Substitute in  for

### Example Question #1 : Imaginary Numbers & Complex Functions

Simplify:

Explanation:

Start by using FOIL. Which means to multiply the first terms together then the outer terms followed by the inner terms and lastly, the last terms.

Remember that , so .

Substitute in  for

### Example Question #1 : Imaginary Numbers & Complex Functions

Simplify:

Explanation:

Start by using FOIL. Which means to multiply the first terms together then the outer terms followed by the inner terms and lastly, the last terms.

Remember that , so .

Substitute in  for

### Example Question #13 : Complex Imaginary Numbers

Simplify:

Explanation:

Start by using FOIL. Which means to multiply the first terms together then the outer terms followed by the inner terms and lastly, the last terms.

Remember that , so .

Substitute in  for .

### Example Question #1972 : Mathematical Relationships And Basic Graphs

Simplify:

Explanation:

To get rid of the fraction, multiply the numerator and denominator by the conjugate of the denominator.

Now, multiply and simplify.

Remember that

### Example Question #1 : Complex Conjugates

Simplify:

Explanation:

To get rid of the fraction, multiply the numerator and denominator by the conjugate of the denominator.

Now, multiply and simplify.

Remember that

### Example Question #14 : Complex Imaginary Numbers

Write in standard form:

Explanation:

Multiply by the conjugate:

### Example Question #15 : Complex Imaginary Numbers

Write in standard form:

None of these.