To find the odd one out among the numbers \(9, 16, 25, 32, 49\), let's examine each number to see if there is a pattern they follow and identify which number does not fit into this pattern.
First, let's look for a common mathematical property, such as perfect squares. A perfect square is a number that can be expressed as the square of an integer.
1. Number 9:
- \(9 = 3^2\)
- So, 9 is a perfect square.
2. Number 16:
- \(16 = 4^2\)
- So, 16 is a perfect square.
3. Number 25:
- \(25 = 5^2\)
- So, 25 is a perfect square.
4. Number 32:
- The square root of 32 is approximately 5.656854.
- This value is not an integer, so 32 is not a perfect square.
5. Number 49:
- \(49 = 7^2\)
- So, 49 is a perfect square.
After examining the numbers, we can see that all the given numbers except 32 are perfect squares:
- \(9, 16, 25,\) and \(49\) are perfect squares.
- \(32\) is not a perfect square.
Therefore, the odd one out is [tex]\(32\)[/tex].