Determine which of these is larger:

29√14 + 4√15 or, 124

*** For an extra challenge, solve this problem using only pen and paper.

(In reply to

re: the hard way....slightly softened by Ady TZIDON)

**It is not** "as Ady *seems to know"- *

I've mentioned in the text:

**-easy to check that 14.5^2=210.25 **

**T**o square any number ending by 5, say 10n+5 you mentaly

multiply n by n+1 and append the result by 25,

e.g. to evaluate 145^2 ==> 14*15=210,

** so the result is ****21025. **** In our case ****210.25 .**

__Since you like proofs to a rule of thumb:__

**(****10n+5)^2=****100n^2+****100n+2****5**** =****100n*(n+1)+25**

Few examples: (no pen & paper)

**65==>4225,**** ****115==>13225, ****1005==>1010025. **

**Dixi.**