To determine between which two numbers [tex]\(\sqrt{52}\)[/tex] lies, we first need to calculate the square root of 52.
The value of [tex]\(\sqrt{52}\)[/tex] is approximately 7.2111.
Now, let's compare this calculated value with the given intervals:
1. 7.0 and 7.1: The value 7.2111 does not fall within this interval.
2. 7.1 and 7.2: The value 7.2111 does not fall within this interval either.
3. 7.2 and 7.3: The value 7.2111 does fall within this interval.
4. 7.3 and 7.4: The value 7.2111 does not fall within this interval.
Therefore, [tex]\(\sqrt{52}\)[/tex] lies between 7.2 and 7.3 on the number line.
