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Guest Dec 9, 2014

Best Answer 

 #2
avatar+27035 
+10

Here's a slightly different approach:

 ratio comparison:

.

Alan  Dec 9, 2014
 #1
avatar+89791 
+10

(√2011 - 1) / (√2012 - 1) ??  (√2011 + 1) / (√2012 + 1)

Let's cross multiply

(√2011 - 1)(√2012 + 1) ?? (√2012 - 1) (√2011 + 1)

√(2011 * 2012)  -  √2012 + √2011  - 1  ?? √(2011 * 2012)  - √2011 + √2012 - 1

  -  √2012 + √2011   ??  - √2011 + √2012

 √2011 - √2012  ??  √2012 - √2011

2√2011 ?? 2√2012

√2011 < √2012

And since the right side is greater at the end (and we haven't multiplied or divided by any negatives).....then the original right side was greater, too

 

CPhill  Dec 9, 2014
 #2
avatar+27035 
+10
Best Answer

Here's a slightly different approach:

 ratio comparison:

.

Alan  Dec 9, 2014

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