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Find two consecutive whole numbers that [tex]\sqrt{74}[/tex] lies between.
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]
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