Does a rational r value for r2 =6 exist?Question 2Select one:a.Yes, a rational r exist.b.No, a rational r does not exist.
Question
Does a rational r value for
r^2 = 6
exist?
Question 2
Select one:
- a. Yes, a rational r exists.
- b. No, a rational r does not exist.
Solution
To answer this question, we need to understand what a rational number is. A rational number is a number that can be expressed as a fraction where both the numerator and the denominator are integers (whole numbers) and the denominator is not zero.
The equation given is r^2 = 6. To find r, we take the square root of both sides, which gives us r = sqrt(6).
The square root of 6 is approximately 2.44948974278, which is not a rational number because it cannot be expressed as a fraction of two integers. Therefore, a rational r does not exist for r^2 = 6.
So, the answer is:
b. No, a rational r does not exist.
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