# SAT II Math II : Real and Complex Numbers

## Example Questions

← Previous 1

### Example Question #1 : Number Theory

Multiply:

None of the other responses is correct.

None of the other responses is correct.

Explanation:

This is the product of a complex number and its complex conjugate. They can be multiplied using the pattern

with

This is not among the given responses.

### Example Question #2 : Real And Complex Numbers

Multiply:

None of the other responses is correct.

Explanation:

### Example Question #3 : Real And Complex Numbers

Which of the following is equal to  ?

Explanation:

To raise  to a power, divide the exponent by 4 and note the remainder.

Raise  to the power of that remainder:

### Example Question #1 : Real And Complex Numbers

Evaluate:

Explanation:

Use the square of a sum pattern

where :

### Example Question #2 : Real And Complex Numbers

Multiply:

Explanation:

Apply the distributive property:

### Example Question #13 : Number Theory

Which of the following is equal to  ?

Explanation:

By the power of a product property,

### Example Question #3 : Real And Complex Numbers

Multiply:

Explanation:

Use the FOIL method:

### Example Question #4 : Real And Complex Numbers

Which of the following is equal to ?

Explanation:

To raise  to a power, divide the exponent by 4 and note the remainder.

Raise  to the power of that remainder:

### Example Question #9 : Real And Complex Numbers

Multiply:

Explanation:

Apply the distributive property:

Multiply: