Subjects algebra

Square Root Range B3E034

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Question: B. Mr Coffman asked his students to write an example of a square root with a value greater than $11$ but less than $11.5$. Circle the name of any student who correctly completed the task FABIO $\sqrt{119}$ DEAN $\sqrt{122}$ EDISON $\sqrt{141}$ CANDACE $\sqrt{130}$ Graph shapes: four rounded rectangles in a row across the center, each with a student name above and a square-root expression inside. position_hint = center Tell me how to solve
1. **State the problem:** We need to find which students wrote a square root value between $11$ and $11.5$. 2. **Recall the problem:** The square root value must satisfy $$11 < \sqrt{n} < 11.5$$ where $n$ is the number inside the root. 3. **Square all parts of the inequality to remove the square root:** $$11^2 < n < 11.5^2$$ $$121 < n < 132.25$$ 4. **Check each student's number $n$ to see if it lies between $121$ and $132.25$:** - FABIO: $n=119$ which is less than $121$, so no. - DEAN: $n=122$ which is between $121$ and $132.25$, so yes. - EDISON: $n=141$ which is greater than $132.25$, so no. - CANDACE: $n=130$ which is between $121$ and $132.25$, so yes. 5. **Conclusion:** DEAN and CANDACE correctly completed the task. **Final answer:** Circle DEAN and CANDACE.
FABIO√119DEAN√122EDISON√141CANDACE√130