Question

which number is closest to \\(\sqrt{11}\\) ? 3.3 4.4 2.7 2.6 submit

Explanation:

Step1: Calculate √11

We know that \( \sqrt{9} = 3 \) and \( \sqrt{16} = 4 \), so \( \sqrt{11} \) is between 3 and 4. Calculate \( \sqrt{11} \approx 3.3166 \).

Step2: Find the closest number

Now, find the absolute differences between \( \sqrt{11} \approx 3.3166 \) and each option:

• For 3.3: \( |3.3166 - 3.3| = 0.0166 \)
• For 4.4: \( |3.3166 - 4.4| = 1.0834 \)
• For 2.7: \( |3.3166 - 2.7| = 0.6166 \)
• For 2.6: \( |3.3166 - 2.6| = 0.7166 \)

The smallest difference is 0.0166, which corresponds to 3.3.

Answer:

3.3