SOLUTION: Consider {{{ ( sqrt(n) + sqrt(n-1)) ( sqrt(n) - sqrt(n-1)) }}} =1 for n >or= 1 -Provide two numerical examples illustrating validity. -Show the statement is true in general.

Question 957377: Consider =1 for n >or= 1
-Provide two numerical examples illustrating validity.
-Show the statement is true in general.
-What is the difference between using numerical values to show that something is true and showing in general that something is true?
Thank you for any help you may provide!
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
Consider =1 for
-Provide two numerical examples illustrating validity.

Let n = 1






 




----------------------

Let n = 2






 








--------------------

-Show the statement is true in general.



Use FOIL:













---------------------

-What is the difference between using numerical values to show that
something is true and showing in general that something is true?

-When we use numerical values to show that something is true, we show it
ONLY for those particular numerical values and no others.

-What we show in general that something is true, we show it for all the
values stated, in this case for  

--------------------
Edwin

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