Which of these numbers are classified as a rational number?
A:√17
B:√23
C:√9
D:√2
I think it is C...
yes, C.
3 * 3 = 9
A rational number is a number that can be written as a fraction, where both the numerator and the denominator are integers.
Let's check each option:
A: √17 - The square root of 17 is an irrational number because it cannot be expressed as a fraction of integers. This is not a rational number.
B: √23 - Similarly, the square root of 23 is an irrational number and cannot be expressed as a fraction of integers. This is not a rational number.
C: √9 - The square root of 9 is 3. This is a rational number because it can be expressed as a fraction: 3/1.
D: √2 - The square root of 2 is an irrational number and cannot be expressed as a fraction of integers. This is not a rational number.
Therefore, the only option that is classified as a rational number is C: √9.
To determine if a number is classified as a rational number, we need to check if it can be expressed as the quotient of two integers (a fraction in simplest form). In other words, if the number can be written as a/b where a and b are integers.
Let's examine each option:
A: √17
The square root of 17 cannot be expressed as the quotient of two integers. Therefore, it is not a rational number.
B: √23
Similar to option A, the square root of 23 cannot be expressed as the quotient of two integers. Therefore, it is not a rational number.
C: √9
The square root of 9 is 3, which can be expressed as the quotient 3/1. Since we can write it as a fraction of two integers, √9 is a rational number.
D: √2
The square root of 2 cannot be expressed as a quotient of two integers. Therefore, it is not a rational number.
So, the correct answer is option C: √9, which is a rational number.