Answer: (a) sometimes, (b) true, (c) 6 ft
Step-by-step explanation:
You need to understand the difference between Whole, Integers, Rationals, and Irrationals in order to answer the question.
Whole numbers are Natural numbers plus 0:
0, 1, 2, 3, 4, ... notice that these are all positive numbers
Integers are Whole numbers plus their opposites:
... -3, -2, -1, 0, 1, 2, 3, ... notice that positive numbers are included
Rationals are integers but also include fractions whose decimal equivalent either repeats or terminates:
[tex]... -2, ..., -1\dfrac{1}{2}, ..., -1\dfrac{1}{3}, ... -1, ..., 0, ..., 1, ..., 1\dfrac{1}{3}, ..., 1\dfrac{1}{2}, ..., 2, ...[/tex] notice that positive numbers are included
Irrationals are numbers whose decimal equivalent does not repeat or terminate:
[tex]..., -\sqrt3, -\sqrt2, ..., \sqrt2, \sqrt3, ...[/tex] notice that positive numbers are included
a) If a number is positive, then it is a Whole, Integer, and Rational.
Sometimes because it could also be an Irrational.
b) If a number is a perfect square, then it is a Whole, Integer, and Rational.
True because an irrational number cannot be a perfect square.
c) What is the length of a square whose Area is 36 ft².
Area = side squared --> A = s² --> 36 ft² = s² --> 6 ft = s
