Which of the following is a rational number between 5 and 5 14 ? Remember to use your Desmos calculator. You will want to hold ctrl when clicking on the Desmos link, so you don't lose your place in this test. (1 point) Responses 26−−√ square root of 26 518 51 eighth 525 52 fifths 513

Answer 1

To identify which of the options is a rational number between 5 and \(5 \frac{1}{4}\) (which is \(5.25\)), we can convert these options to decimal form and check if they fall within the range.

1. \( \sqrt{26} \) is approximately \( 5.099 \); this is between 5 and 5.25.
2. \( \frac{51}{8} = 6.375 \); this is not between 5 and 5.25.
3. \( \frac{52}{5} = 10.4 \); this is not between 5 and 5.25.
4. \( \frac{51}{3} = 17 \); this is not between 5 and 5.25.

The only rational number from the given options that lies between 5 and \(5 \frac{1}{4}\) is \( \sqrt{26} \).

Answer 2

Pick one

Answer 3

The rational number between 5 and \(5 \frac{1}{4}\) (5.25) is:

\( \sqrt{26} \).