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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