Sure, let's solve this step-by-step.
We are given the set of numbers: \(\{-25, -2.3, -16, 49, 3.3\}\).
Our goal is to find the square roots of the whole numbers.
### Step 1: Identify Whole Numbers
First, let's identify which numbers in the set are whole numbers. Whole numbers are non-negative integers. But as per the question, it seems it might refer to positive integers that retain their property when taking a square root.
From the given set:
- \(-25\) is not a whole number because it is negative.
- \(-2.3\) is not a whole number because it is negative and also a decimal.
- \(-16\) is not a whole number because it is negative.
- \(49\) is a whole number.
- \(3.3\) is not a whole number because it is a decimal.
So, the whole number in the set is: \(49\).
### Step 2: Find Square Roots of Whole Numbers
Now that we have identified \(49\) as the only whole number, let's find its square roots.
The square root of a number \(x\) is a number \(y\) such that \(y^2 = x\).
For the number 49:
- The positive square root is \( \sqrt{49} = 7 \).
- The negative square root is \( -\sqrt{49} = -7 \).
### Step 3: Combine the Results
Thus, the square roots of the whole number \(49\) (both positive and negative) are \(\pm 7.0\).
Therefore, the correct answer from the given options is:
[tex]\[
\pm 7.0
\][/tex]
So, the square roots of the whole number in the set are [tex]\[ 7.0\][/tex] and [tex]\[-7.0\][/tex].
