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
|a. ||−7.5 ||b. ||5 ||c. ||71.183 ||d. ||0
|e. ||√17 ||f. ||π ||g. ||4 + 3i ||h. ||√9
|i. ||3i ||j. ||1 − 5 ||k. ||−70/5 ||l. ||5 + √2
- Prove that √3 is an irrational number.