nguyengraceannbts
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our 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

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.