what is the product of two irrational numbers
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ATI TEAS 7

TEAS Test Sample Math Questions

1. What is the product of two irrational numbers?

Correct answer: C

Rationale: The correct answer is C: 'Irrational or rational.' When you multiply two irrational numbers, the result can be either irrational or rational. For example, multiplying the square root of 2 (√2) by itself results in the rational number 2. This shows that the product of two irrational numbers can lead to a rational result. Choices A, B, and D are incorrect because the product of two irrational numbers is not limited to being irrational; it can also be rational.

2. Which of the following represents different types of electromagnetic waves based on their wavelengths and frequencies?

Correct answer: A

Rationale: Electromagnetic waves are categorized based on their wavelengths and frequencies. Visible light, X-rays, radio waves, and gamma rays are all examples of electromagnetic waves with distinct wavelengths and frequencies. The correct answer choice, A, accurately represents different types of electromagnetic waves. Sound waves, water waves, seismic waves, and shock waves are mechanical waves that propagate through a medium via particle interactions, not electromagnetic waves. Longitudinal waves, transverse waves, mechanical waves, and non-mechanical waves are classifications based on the nature of the wave propagation and do not relate to the types of electromagnetic waves which are differentiated by their electromagnetic properties.

3. Eventually, he stopped hiding the fact that he did not know Spanish and admitted that he had been deceiving them for months. Which of the following words is misspelled in the sentence above?

Correct answer: B

Rationale: The correct answer is 'B' – 'admitted'. The word 'admited' is misspelled; the correct spelling is 'admitted.' 'Hiding,' 'deceiving,' and 'eventually' are all spelled correctly in the sentence provided. 'Hiding' is the action of concealing something, 'deceiving' is the act of causing someone to believe something that is not true, and 'eventually' means at some later time or in the end. These words are correctly spelled and used in the context of the sentence.

4. Which preposition best completes the sentence: 'She borrowed money from her friend.'?

Correct answer: B

Rationale: The correct preposition to use in this sentence is 'from' as it indicates the source of the borrowed money. 'Of' (Choice A) is incorrect as it does not convey the idea of obtaining something from a specific person. 'On' (Choice C) is also incorrect as it does not relate to borrowing money from someone. 'For' (Choice D) is incorrect as it implies a different purpose than borrowing money from her friend. Therefore, the most appropriate preposition in this context is 'from', making the sentence grammatically correct and conveying the intended meaning.

5. What is the correct way to write "25th anniversary" as a word?

Correct answer: D

Rationale: Ordinals (numbers with "th", "st", "nd", etc.) are generally written as words when used before nouns. Option (d) is correct.

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