nguyengraceannbts
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Which of the following are examples of irrational numbers? Select all that apply.
A. [tex]\sqrt{4} +\sqrt{16}[/tex]
B. [tex]\sqrt{5} + \sqrt{36\\}[/tex]
C. [tex]\sqrt{9} +\sqrt{24}[/tex]
D. [tex]2*\sqrt{4}[/tex]
E. [tex]\sqrt{49} *\sqrt{81}[/tex]
F. [tex]3\sqrt{12\\}[/tex]

Sagot :

xero099

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

Which numbers are irrational numbers?

Irrational numbers are a subset of real numbers that are not rational numbers, rational numbers comprises integers and non-integers. In this case, square roots are one of the most known cases of irrational numbers.   Now we proceed to check if each choice represents indeed an irrational number by algebraic handling:

Case A

√4 + √16 = 2 + 4 = 6

Case B

√5 + √36 = √5 + 6

Case C

√9 + √24 = 3 + √(6 × 4) = 3 + 2√6

Case D

2√4 = 2 × 2 = 4

Case E

√49 × √81 = 7 × 9 = 63

Case F

3√12 = 3√(3 × 4) = 6√3

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

To learn more on irrational numbers: https://brainly.com/question/2197288

#SPJ1

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.