The answers are: __________________________ [B]: "√12 " ; AND: __________________________ [D]: "<span>√20" . __________________________ Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating. __________________________ Consider the answer choices given; and consider the given information that there "should be no more than one answer. __________________________________ Consider the following answer choices: __________________________________ Choice A) "</span><span>√9" = 3 . Rule out this choice. __________________________________ Choice C) "</span><span>√16" = 4 . Rule out this choice. __________________________________ Choice E) "</span><span>√25" = 5. Rule out this choice. _________________________________ We are left with 2 (two) remaining answer choices: [B]: "</span>√12" ; and: [D]: "<span>√20" . _________________________________ If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator. ____________________________ [B]: </span>"√12" = 3.4641016151377546
[D]: "√20" = 4.4721359549995794 _________________________________ These two answer choices should the correct answers.
The properties that were used to derive the properties of logarithms are: 1. a^x · a^y = a^(x+y)
2. a^x / a^y = a^(x - y)
3. a^0 = 1
4. a^(-x) = 1 / x
5. (a^x)^y = a^(<span>xy)</span>
