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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

1 answer

To determine which of the given options is a rational number between 5 and 5¾ (which is 5.75), we can analyze each option.

  1. √26: This is approximately 5.099, which is less than 5.75 but greater than 5. So this option is a rational number between 5 and 5.75.

  2. 51/8: This equals 6.375, which is greater than 5.75.

  3. 52/5: This equals 10.4, which is also greater than 5.75.

  4. 51/3: This equals approximately 17, which is also greater than 5.75.

The only option that is a rational number between 5 and 5.75 is √26.