QuestionAugust 24, 2025

Using rational approximations, what statement is true? (1 point) sqrt (16)gt 4 sqrt (12)lt pi sqrt (16)lt 4 sqrt (12)gt pi

Using rational approximations, what statement is true? (1 point) sqrt (16)gt 4 sqrt (12)lt pi sqrt (16)lt 4 sqrt (12)gt pi
Using rational approximations, what statement is true? (1 point) sqrt (16)gt 4 sqrt (12)lt pi sqrt (16)lt 4 sqrt (12)gt pi

Solution
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Answer

\sqrt {12}\gt \pi Explanation 1. Evaluate \sqrt{16} \sqrt{16} = 4. 2. Compare \sqrt{16} with 4 Since \sqrt{16} = 4, both \sqrt{16} > 4 and \sqrt{16} \pi \approx 3.14159.

Explanation

1. Evaluate $\sqrt{16}$<br /> $\sqrt{16} = 4$.<br />2. Compare $\sqrt{16}$ with 4<br /> Since $\sqrt{16} = 4$, both $\sqrt{16} > 4$ and $\sqrt{16} < 4$ are false.<br />3. Evaluate $\sqrt{12}$<br /> $\sqrt{12} \approx 3.464$ (since $3.464^2 \approx 12$).<br />4. Compare $\sqrt{12}$ with $\pi$<br /> $\pi \approx 3.14159$. Therefore, $\sqrt{12} \approx 3.464 > \pi \approx 3.14159$.
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