Question 152329
The problem is rationalize the denominator:
5 over the square root symbol [3]+ square root symbol [5].
:
{{{5/(sqrt(3) + sqrt(5))}}}
:
multiply the equation by the conjugate of the denominator;
Note when you FOIL the denominators, the middle terms which contain radicals, will cancel
{{{5/(sqrt(3) + sqrt(5))}}} * {{{(sqrt(3) - sqrt(5))/(sqrt(3) - sqrt(5))}}} = {{{(5(sqrt(3) - sqrt(5)))/(3 - 5)}}} = {{{(5(sqrt(3) - sqrt(5)))/(-2)}}} = {{{-(5(sqrt(3) - sqrt(5)))/2}}}