Question 335525
{{{sqrt(2X)-sqrt(3)=sqrt(5)}}}
{{{sqrt(2X)=sqrt(3)+sqrt(5)}}}
Square both sides,
{{{2X=(sqrt(3)+sqrt(5))*(sqrt(3)+sqrt(5))}}}
Use the FOIL Method,
{{{2X=3+sqrt(3)sqrt(5)+sqrt(5)sqrt(3)+5}}}
{{{2X=8+2sqrt(15)}}}
{{{highlight(X=4+sqrt(15))}}}