77.2k views
5 votes
Which of the following numbers are greater than 6 and less than 8?

Which of the following numbers are greater than 6 and less than 8?-example-1
User Vonkohorn
by
8.6k points

1 Answer

5 votes

Answer:


√(60)

Step-by-step explanation:

We are required to determine which of the given numbers are greater than 6 and less than 8.


6^2=36\text{ and }8^2=64
\begin{gathered} √(7)<√(36)=6 \\ \text{Therefore, }√(7)\text{ is less than 6.} \end{gathered}

Secondly:


\begin{gathered} 6=√(36)<√(60)<√(64)=8 \\ 6<√(60)<8 \\ \text{Therefore, }√(60)\text{ is greater than 6 and less than 8.} \end{gathered}

Finally:


\begin{gathered} 6=√(36)<√(80)>√(64)=8 \\ √(80)>8>6 \\ \text{Therefore, }√(80)\text{ is greater than 6 and 8.} \end{gathered}

Therefore, the number which is greater than 6 and less than 8 is the square root of 60.

User Jeremy Weiskotten
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.