Exam 1: The Real Numbers

Write the intersection as a single interval.

Write the union as a single interval.

Evaluate

The sum of any irrational number with any rational number is always irrational.

Write the union as a single interval.

The square of an irrational number is always rational.

Expand the given expression. (4x - 2y)(4z + 2w - t)

Simplify the given expression as much as possible.

Which of the following alternatives corresponds to an irrational number?