Question

which number is closest to \\(\sqrt{15}\\)? 2.7 4.2 3.8 3.3 submit

Explanation:

Step1: Calculate $\sqrt{15}$

We know that $3^2 = 9$ and $4^2 = 16$. So $\sqrt{15}$ is between 3 and 4. Calculating more precisely, $\sqrt{15} \approx 3.87298$.

Step2: Find the differences

• Difference with 2.7: $|3.87298 - 2.7| = 1.17298$
• Difference with 4.2: $|3.87298 - 4.2| = 0.32702$
• Difference with 3.8: $|3.87298 - 3.8| = 0.07298$
• Difference with 3.3: $|3.87298 - 3.3| = 0.57298$

Step3: Compare differences

The smallest difference is 0.07298, which corresponds to 3.8.

Answer:

3.8