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 requires a computer to find it.
It is equal to 1.
It is equal to 1.
It does not exist.
It does not exist.
It involves large numbers.
It involves large numbers.
are you sure?
Apologies for the confusion in my previous response. The correct statement is "It does not exist." The square root of 2 is an irrational number, meaning it cannot be expressed as a fraction or a finite decimal.
you sure this time?
Apologies for the mistake in my previous response. You are correct, the integer fraction that equals the square root of 2 does not exist. The square root of 2 is an irrational number and cannot be expressed as a fraction.
It does not involve large numbers.
The correct response is: "It does not exist."
To understand why the statement is true, we need to understand the square root of 2 and what an integer fraction is.
The square root of 2 (√2) is an irrational number, which means it cannot be expressed as a fraction of integers (whole numbers). In other words, you cannot find two integers (a numerator and a denominator) that when divided give you √2 as the result.
If you were to use a computer or calculator to approximate the square root of 2, you would get a decimal value that goes on indefinitely without repeating. However, this decimal representation is just an approximation, not the exact value of √2.
So, the statement "It does not exist" is true because there is no integer fraction that equals the square root of 2.