Question 72988
rationalize the denominator

5
____
3+ square root 5
{{{5/(3+sqrt(5))}}}  Multiply the numerator and denominator by the conjugate of the denominator.
{{{5(3-sqrt(5))/((3+sqrt(5))(3-sqrt(5)))}}}
{{{(5(3)+5(-sqrt(5)))/(3(3-sqrt(5))+sqrt(5)*(3-sqrt(5)))}}}
{{{(15-5*sqrt(5))/(9-3*sqrt(5)+3*sqrt(5)-sqrt(25))}}}
{{{(15-5*sqrt(5))/(9-5)}}}
{{{highlight((15-5*sqrt(5))/4)}}}
Happy Calculating!!!!