Which statement is true about the integer fraction that equals the square root of 2?(1 point)
Responses
It requires a computer to find it.
It involves large numbers.
It is equal to 1.
It does not exist.
It does not exist.
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The correct statement is: It does not exist.
To determine which statement is true about the integer fraction that equals the square root of 2, one can analyze each statement and its implications.
1. "It requires a computer to find it."
This statement suggests that finding the integer fraction that equals the square root of 2 is a complex task that would typically require the assistance of a computer. While it's true that finding an exact integer representation of the square root of 2 can be challenging, it is not impossible to find using manual methods.
2. "It involves large numbers."
This statement implies that the integer fraction representing the square root of 2 consists of large numbers. However, this statement is not accurate. In fact, the integer fraction that equals the square root of 2 is infinite and non-repeating, meaning it cannot be expressed as a fraction with finite numbers. Instead, it can be expressed as an irrational number.
3. "It is equal to 1."
This statement is incorrect. The square root of 2 is not equal to 1. The exact value of the square root of 2 is approximately 1.41421356.
4. "It does not exist."
This statement is also incorrect. The square root of 2 does exist; it just cannot be expressed as a simple fraction. It is an irrational number and, thus, cannot be represented by a fraction of two integers.
Given these explanations, the correct answer would be: The statement "It does not exist" is true about the integer fraction that equals the square root of 2.