options: Know that there are numbers that are not rational, and approximate them by rational numbers.

Perform arithmetic operations with complex numbers.

Use complex numbers in polynomial identities and equations.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Reason quantitatively and use units to solve problems.

Extend the properties of exponents to rational exponents.

Represent and model with vector quantities.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Use properties of rational and irrational numbers.

Perform operations on vectors.

Apply and extend previous understandings of numbers to the system of rational numbers.

Compute fluently with multi-digit numbers and find common factors and multiples.

Represent complex numbers and their operations on the complex plane.

Perform operations on matrices and use matrices in applications.
problem_activity: Problem 1
Evaluate the following complex expressions:
$${(8+3i)-(6-2i)}$$
$${(8+3i)(6-2i)}$$
$${(2+i)^2+(6+2i)}$$
Problem 2
Which of the following results in a real number? Select all that apply.
$${i^2}$$
$${(2-i)(2+i)}$$
$${2i^3}$$
$${3i+2i}$$


correct_option_index: 1