Question
2. Betwoen which two integers does \( \sqrt[3]{5} \) lie?
Ask by Malone Tran. in South Africa
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \sqrt[3]{5} \) lies between 1 and 2.
Solution
To determine between which two integers \( \sqrt[3]{5} \) lies, consider the cubes of consecutive integers:
- \( 1^3 = 1 \)
- \( 2^3 = 8 \)
Since \( 1 < 5 < 8 \), it follows that:
\[
1 < \sqrt[3]{5} < 2
\]
**Therefore, \( \sqrt[3]{5} \) lies between the integers 1 and 2.**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
The cube root of 5 is a little more than 1.7 and a little less than 2. This means that \( \sqrt[3]{5} \) lies between the integers 1 and 2. To find this, you can calculate \( 1^3 = 1 \) and \( 2^3 = 8 \). Since 5 is between 1 and 8, it follows that \( 1 < \sqrt[3]{5} < 2 \). If you want to get even more precise, \( \sqrt[3]{5} \) is approximately 1.71. So, the next time someone asks about the cube root of 5, you can confidently say it’s between 1 and 2!
