To determine the two consecutive whole numbers that the square root of 74 lies between, follow these steps:
1. Calculate the square root of 74:
[tex]\[
\sqrt{74} \approx 8.602
\][/tex]
2. Identify the whole number just below the square root:
Since [tex]\( \sqrt{74} \approx 8.602 \)[/tex], the largest whole number less than or equal to 8.602 is:
[tex]\[
8
\][/tex]
3. Identify the whole number just above the square root:
The smallest whole number greater than or equal to 8.602 is:
[tex]\[
9
\][/tex]
Thus, the two consecutive whole numbers that [tex]\( \sqrt{74} \)[/tex] lies between are:
[tex]\[
8 \text{ and } 9
\][/tex]
