Question 740707
Note that 
{{{ sqrt(5) * sqrt(5) = 5 }}} and
{{{ sqrt(7) * sqrt(7) = 7 }}}
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{{{ (2*sqrt(5) + 3*sqrt(7))^2 }}}
{{{ ( 2*sqrt(5) )^2 + 2* ( 2*sqrt(5) *3*sqrt(7) ) + ( 3*sqrt(7) )^2 }}}
{{{ ( 4*5 ) + 12*sqrt(35) + ( 9*7 ) }}}
{{{ 20 + 63 + 12*sqrt(35) }}}
{{{ 83 + 12*sqrt(35) }}}