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Which list  contains only integers? 6.0, 5–√ , 90 279 , 4–√ , -4 −81−−√ , -7, 45 43 ,  64−−√ , 5.321...

User Gkdm
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1 Answer

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Final answer:

After evaluating, none of the lists provided contain only integers, as all have terms that are either decimal numbers or roots of non-perfect squares, which do not result in integers. Understanding integers and integer powers is key to solving such questions.

Step-by-step explanation:

When we are asked to identify which list contains only integers, it is important to understand what an integer is. An integer is a whole number that can be positive, negative, or zero, but it cannot be a fraction or include a decimal point with a non-zero fractional part. Given the lists provided, we aim to find the one with only integers.

Looking at the lists within the question:

  • 6.0, 5√­, 90
  • 279, 4√­, -4
  • −√­81, -7, 45
  • 4³, 64√­, 5.321...



We can determine the property of each term:

  1. 6.0 is an integer because it represents 6 without any fractional part.
  2. The second term in every list is a root, which may or may not be an integer.
  3. Look for non-integer terms or roots that do not simplify to integers.
  4. Lastly, evaluate which list exclusively accommodates integers.



From this evaluation, the list containing

-81, -7, 45

includes only integers, presuming the '−√­' prior to '81' signifies the square root of -81, which is a complex number (not an integer), making this a trick question. If the symbol is meant to be a subtraction, then the list would be valid, as -81, -7, and 45 are all integers. Assuming the correct list should contain only integers and not involve complex numbers, none of the provided lists are correct. Every list either includes a decimal that is not 0 or involves the square root of a number that is not a perfect square, which doesn't result in an integer.



User Davy Kavanagh
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