anonymous
  • anonymous
Just a quick clarification? (Problem in comments.)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I need to find the conjugate of \[a-\sqrt{a-1}\]
misssunshinexxoxo
  • misssunshinexxoxo
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
anonymous
  • anonymous
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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anonymous
  • anonymous
I just need to know if when flipping the sign I flip the sign on the inside of the radical?
mathstudent55
  • mathstudent55
Only the - between the a and the root changes to +.
anonymous
  • anonymous
Ok thanks @mathstudent55
mathstudent55
  • 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.
anonymous
  • anonymous
Got it

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