Get detailed and reliable answers to your questions with IDNLearn.com. Join our interactive Q&A community and access a wealth of reliable answers to your most pressing questions.
Sagot :
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].
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].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.