Question

Classify square root 36 A. Whole Number B. Integer C. Rational Number D. Irrational Number

Answer 1

Whole numbers\greenD{\text{Whole numbers}}Whole numbersstart color greenD, W, h, o, l, e, space, n, u, m, b, e, r, s, end color greenD are numbers that do not need to be represented with a fraction or decimal. Also, whole numbers cannot be negative. In other words, whole numbers are the counting numbers and zero.Examples of whole numbers:4, 952, 0, 734,952,0,734, comma, 952, comma, 0, comma, 73Integers\blueD{\text{Integers}}Integersstart color blueD, I, n, t, e, g, e, r, s, end color blueD are whole numbers and their opposites. Therefore, integers can be negative.Examples of integers:12, 0, -9, -81012,0,−9,−81012, comma, 0, comma, minus, 9, comma, minus, 810Rational numbers\purpleD{\text{Rational numbers}}Rational numbersstart color purpleD, R, a, t, i, o, n, a, l, space, n, u, m, b, e, r, s, end color purpleD are numbers that can be expressed as a fraction of two integers.Examples of rational numbers:44, 0.\overline{12}, -\dfrac{18}5,\sqrt{36}44,0. 12 ,− 5 18 ,√ 36 44, comma, 0, point, start overline, 12, end overline, comma, minus, start fraction, 18, divided by, 5, end fraction, comma, square root of, 36, end square rootIrrational numbers\maroonD{\text{Irrational numbers}}Irrational numbersstart color maroonD, I, r, r, a, t, i, o, n, a, l, space, n, u, m, b, e, r, s, end color maroonD are numbers that cannot be expressed as a fraction of two integers.Examples of irrational numbers:-4\pi, \sqrt{3}−4π,√ 3 minus, 4, pi, comma, square root of, 3, end square rootHow are the types of number related?The following diagram shows that all whole numbers are integers, and all integers are rational numbers. Numbers that are not rational are called irrational.

Answer 2

C. Rational number because the square root of 36 has a square number which is 6.