## FIND THE SQUARE ROOT OF (2011*2012*2013*2014)+1.

Write as (2011)(2011+1)(2011+2)(2011+3)+1. Expand:

`((2011)^2+2011)(2011+2)(2011+3)+1`

`((2011)^3+3(2011)^2+2(2011))(2011+3)+1`

`(2011)^4+6(2011)^3+11(2011)^2+6(2011)+1`

This factors as `((2011)^2+3(2011)+1)^2`

**Thus the square root is `(2011)^2+3(2011)+1=4050155` **

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