SOLUTION: How would you prove sqrt 2 + sqrt 3

SOLUTION: How would you prove sqrt 2 + sqrt 3 < sqrt 5 + sqrt 7?

Question 590269: How would you prove sqrt 2 + sqrt 3 < sqrt 5 + sqrt 7?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

 <   because 2 < 5
 <   because 3 < 7

Therefore

 +  <  +   

because unequals in a certain order added to unequals in the same order
always gives unequals in that same order.

Edwin

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