Answer: (a) sometimes, (b) true, (c) 6 ft
<u>Step-by-step explanation:</u>
You need to understand the difference between Whole, Integers, Rationals, and Irrationals in order to answer the question.
<u>Whole numbers</u> are Natural numbers plus 0:
0, 1, 2, 3, 4, ... <em>notice that these are all positive numbers</em>
<u>Integers</u> are Whole numbers plus their opposites:
... -3, -2, -1, 0, 1, 2, 3, ... <em>notice that positive numbers are included</em>
<u>Rationals</u> are integers but also include fractions whose decimal equivalent either repeats or terminates:
<em>notice that positive numbers are included</em>
<u>Irrationals</u> are numbers whose decimal equivalent does not repeat or terminate:
<em>notice that positive numbers are included</em>
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