list all elements of the set {9,0 squareroot3, squareroot25,6/7,-110} that are elements of the set of rational numbers
To determine which elements of the set {9, √3, √25, 6/7, -110} are rational numbers, we need to identify which numbers can be expressed as a ratio of two integers.
A rational number is any number that can be written in the form of p/q, where p and q are integers and q is not equal to zero.
Let's go through each element of the set and determine if it is rational:
1. 9: 9 can be written as 9/1. It is a rational number.
2. √3: The square root of 3 cannot be expressed as a ratio of two integers. It is an irrational number.
3. √25: The square root of 25 can be written as 5/1. It is a rational number.
4. 6/7: 6/7 is already in the form of p/q, where p = 6 and q = 7. It is a rational number.
5. -110: -110 can be written as -110/1. It is a rational number.
So, the elements of the set {9, √3, √25, 6/7, -110} that are rational numbers are 9, √25, 6/7, and -110.