Question

question

estimate \\(\sqrt{397}\\) between two consecutive whole numbers.

provide your answer below:

\\(\square < \sqrt{397} < \square\\)

Explanation:

Find bounding perfect squares

$$ 19^2 = 361 $$

$$ 20^2 = 400 $$

$$ 361 < 397 < 400 $$

Apply square root to the inequality

$$ \sqrt{361} < \sqrt{397} < \sqrt{400} $$

$$ 19 < \sqrt{397} < 20 $$

Answer:

Estimate \(\sqrt{397}\) between two consecutive whole numbers.

Provide your answer below:

<blank>19</blank> \(< \sqrt{397} <\) <blank>20</blank>