Just a quick clarification? (Problem in comments.)

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Just a quick clarification? (Problem in comments.)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I need to find the conjugate of \[a-\sqrt{a-1}\]
Plugged it in http://www.wolframalpha.com/input/?i=a%E2%88%92a%E2%88%921%E2%88%92%E2%88%92%E2%88%92%E2%88%92%E2%88%9A
I'm not sure if it is \[a+\sqrt{a+1}\] or \[a-\sqrt{a-1}\] the lesson I had is not very clear.

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I just need to know if when flipping the sign I flip the sign on the inside of the radical?
Only the - between the a and the root changes to +.
Ok thanks @mathstudent55
You're welcome. \((a - \sqrt{a - 1})(a + \sqrt{a - 1})\) follows the pattern \((a - b)(a + b) = a^2 + b^2\) The root term will disappear after multiplication. If you change the sign inside the root, it no longer follows the pattern of the product of a sum and a difference and the root terms will still be there after multiplication.
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