Question

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

Answer 1

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

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