QuestionAugust 24, 2025

Using a number line what is the approximate value of sqrt (39) ? (1 point) 6.6 6.4 6.2 6.8

Using a number line what is the approximate value of sqrt (39) ? (1 point) 6.6 6.4 6.2 6.8
Using a number line what is the approximate value of sqrt (39) ? (1 point) 6.6 6.4 6.2 6.8

Solution
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Answer

6.2 Explanation 1. Identify perfect squares \sqrt{36} = 6 and \sqrt{49} = 7. Therefore, \sqrt{39} is between 6 and 7. 2. Estimate closer value Since 39 is closer to 36 than to 49, \sqrt{39} is closer to 6. Calculate the midpoint: (6 + 7)/2 = 6.5. Check values around 6.5. 3. Compare with options \sqrt{39} is slightly more than 6.2 but less than 6.4. Thus, approximate value is closest to 6.2.

Explanation

1. Identify perfect squares<br /> $\sqrt{36} = 6$ and $\sqrt{49} = 7$. Therefore, $\sqrt{39}$ is between 6 and 7.<br /><br />2. Estimate closer value<br /> Since 39 is closer to 36 than to 49, $\sqrt{39}$ is closer to 6. Calculate the midpoint: $(6 + 7)/2 = 6.5$. Check values around 6.5.<br /><br />3. Compare with options<br /> $\sqrt{39}$ is slightly more than 6.2 but less than 6.4. Thus, approximate value is closest to 6.2.
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