Question
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Answer
\( 2^{1/2} \) feet is approximately 16.97 inches.
Solution
To convert \( 2^{1/2} \) feet into inches, follow these steps:
1. **Understand the Conversion Factor:**
- **1 foot = 12 inches**
2. **Calculate \( 2^{1/2} \) Feet in Inches:**
\[
2^{1/2} \text{ feet} = \sqrt{2} \text{ feet} \approx 1.4142 \text{ feet}
\]
\[
1.4142 \text{ feet} \times 12 \text{ inches/foot} = 16.9704 \text{ inches}
\]
3. **Final Answer:**
\[
2^{1/2} \text{ feet} \approx 16.97 \text{ inches}
\]
**So, \( 2^{1/2} \) feet is approximately 16.97 inches.**
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Simplify this solution Beyond the Answer
To convert feet to inches, you need to know that 1 foot equals 12 inches. So, \( 2^{1 / 2} \) feet is equal to \( 2^{1 / 2} \times 12 \) inches. Evaluating \( 2^{1 / 2} \) gives you \(\sqrt{2} \approx 1.414\), and when multiplied by 12, you get approximately \( 16.97 \) inches. Now, doesn't that remind you of how math sneaks into everyday life? Whether it’s measuring spaces for furniture or figuring out if your new artwork will fit on the wall, understanding these conversions helps you avoid those "oops" moments!
