Question 107292


 {{{(8sqrt(6) + 3sqrt(2))(4sqrt(6) - 5sqrt(2))  }}}  


 = {{{ 8*4sqrt(6)sqrt(6)}}} - {{{ 8*5(sqrt(6)sqrt(2)) + 3*4sqrt(2)sqrt(6)}}} – {{{3*5(sqrt(2)sqrt(2) )}}} 


={{{32*6 - 40* sqrt(6)*sqrt(2) + 12* sqrt(6)*sqrt(2)}}} – {{{15*2)}}} 
=  {{{192  - 28 * sqrt(6)*sqrt(2)}}}– {{{30}}} = {{{162 - 28 (sqrt(6)*sqrt(2))}}}

 since {{{sqrt(6) = 2.45}}} and {{{sqrt(2) = 1.41}}}, we will have:

{{{162 - 28 *2.45*1.41}}}

= {{{162 - 28*3.4545}}}

= {{{162 - 96.726}}}
= {{{65.274}}}