To approximate the value of $\sqrt{39}$ using a number line, we first find the perfect squares that are closest to 39. Since $6^2 = 36$ and $7^2 = 49$, we know that $\sqrt{39}$ lies between 6 and 7.
Next, we divide the distance between 6 and 7 into 10 equal parts since our answer choices are given in hundredths. Each part represents $\frac{1}{10}$ or 0.1.
Starting from 6, we count 3 of these parts to get to 6.3. Then, we estimate that $\sqrt{39}$ is a little bit closer to 6.3 than to 6.4, so our approximate value is $\boxed{\textbf{(c) } 6.33}$.
Using a number line, what is the approximate value of 39−−√
?
a. 6.17
b. 6.42
c. 6.33
d. 6.25
2 answers
Dang Bot Lola got snappy with it, you might want to do better. XD
6 answers