+0  
 
0
420
2
avatar

 Dec 9, 2014

Best Answer 

 #2
avatar+27377 
+10

Here's a slightly different approach:

 ratio comparison:

.

 Dec 9, 2014
 #1
avatar+94609 
+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

 

 Dec 9, 2014
 #2
avatar+27377 
+10
Best Answer

Here's a slightly different approach:

 ratio comparison:

.

Alan Dec 9, 2014

33 Online Users

avatar
avatar
avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.