Question 186788
Your answer is close
{{{(sqrt(5) + 1) / (sqrt(5) - 1)}}}
Multiply top and bottom by {{{sqrt(5) + 1}}}
{{{((sqrt(5) + 1) / (sqrt(5) - 1)) * ((sqrt(5) + 1) / (sqrt(5) + 1))}}}
{{{(5 + 2*sqrt(5) + 1) / 4}}}
{{{(6 + 2*sqrt(5)) / 4}}}
{{{(3 + sqrt(5)) / 2}}} answer
You can check the answer by setting
it equal to the original expression
and do the algebra to see if it's true