Question

which number is closest to $-sqrt{34}$? 6.3 -5.8 -6.3 5.8

Explanation:

Step1: Find $\sqrt{34}$ approximate value

We know $5^2=25$, $6^2=36$. $\sqrt{34}$ is between 5 and 6. Calculate $5.8^2 = 33.64$, $5.9^2=34.81$. So $\sqrt{34}\approx5.83$.

Step2: Compute $-\sqrt{34}$ value

$-\sqrt{34}\approx-5.83$

Step3: Compare with options

Calculate differences:

• $| -5.83 - 6.3 | = 12.13$
• $| -5.83 - (-5.8) | = 0.03$
• $| -5.83 - (-6.3) | = 0.47$
• $| -5.83 - 5.8 | = 11.63$

The smallest difference is 0.03.

Answer:

-5.8