To replace the question mark with the correct symbol ([tex]${data-answer}lt;, >,$[/tex] or [tex]$=$[/tex]), we need to compare the two numbers: [tex]\(2.23\)[/tex] and [tex]\(\sqrt{5}\)[/tex].
Firstly, let's approximate the value of [tex]\(\sqrt{5}\)[/tex]:
- We know that the square root of 4 is 2, i.e., [tex]\(\sqrt{4} = 2\)[/tex].
- We also know that the square root of 9 is 3, i.e., [tex]\(\sqrt{9} = 3\)[/tex].
Since 5 is between 4 and 9, [tex]\(\sqrt{5}\)[/tex] should be between [tex]\(\sqrt{4}\)[/tex] and [tex]\(\sqrt{9}\)[/tex], which are 2 and 3 respectively. This means [tex]\(\sqrt{5}\)[/tex] is between 2 and 3.
To be more precise:
[tex]\[
\sqrt{5} \approx 2.236
\][/tex]
Now let's compare [tex]\(2.23\)[/tex] and [tex]\(2.236\)[/tex]:
[tex]\[
2.23 < 2.236
\][/tex]
Therefore:
[tex]\[
2.23 < \sqrt{5}
\][/tex]
So, the correct symbol to replace the question mark is [tex]\(<\)[/tex].
Thus, the answer is:
[tex]\[ 2.23 \quad \sqrt{5} \quad c. \quad < \][/tex]
Make sure you replace the question mark with '<' in the original expression.
Let's move to the next problem:
5) Evaluate the expression using the given values.
Since the specific expression and given values are not provided in the problem statement itself, kindly provide the expression and values, and I will guide you through the evaluation step-by-step.
