Answer
$7$
Work Step by Step
Step 1: $(\sqrt 6+i)(\sqrt 6-i)$
Step 2: $\sqrt 6(\sqrt 6-i)+i(\sqrt 6-i)$
Step 3: $6-i\sqrt 6+i\sqrt 6-i^{2}$
Step 4: $6-(-1)$
Step 5: $6+1$
Step 6: $7$
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.