You may want to read the pages under Number System Tutorial before completing this exercise.

- In your own words, define a field.
- Classify the following numbers as: Natural numbers, Whole numbers,
Integers, Rational numbers, Real numbers or Complex numbers (use
the most restrictive category) and as either algebraic or
transcendental.
a. −7.5 b. 5 c. 71.183 d. 0 e. √17 f. π g. 4 + 3 `i`h. √9 i. 3 `i`j. 1 − 5 k. −70/5 l. 5 + √2 - Prove that √3 is an irrational number.