Question 605829
{{{ 1/( sqrt(5) - 2 ) }}}
{{{ (1/( sqrt(5) - 2 ))*( (sqrt(5) + 2 )/( sqrt(5) + 2 ) ) }}}
Notice that all I did was multiply the given expression by unity
{{{ ( sqrt(5) + 2 ) / ( 5 - 4 ) }}}
Now I can say
{{{ sqrt(5) + 2 = q*sqrt(5) + p }}}
{{{ q = 1 }}}
{{{ p = 2 }}}
Notice the denominator was like
{{{ (a + b)*(a - b) }}}
and
{{{ (a + b)*(a - b) = a^2 + ab - ab - b^2 }}}