Answer
2.645
Work Step by Step
$\sqrt 4\lt\sqrt 7\lt\sqrt 9$
$2\lt\sqrt 7\lt3$
The approximation is reasonable because $\sqrt 7$ (2.645), is greater than $\sqrt 4$ (2) but less than $\sqrt 9$ (3).
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.