Question 67439
Simplify:
{{{2sqrt(x)/(sqrt(x+sqrt(x))+sqrt(x-sqrt(x)))}}} Mulltiply top and bottom by the conjugate of the denominator:
{{{(2sqrt(x)(sqrt(x+sqrt(x))-sqrt(x-sqrt(x))))/(sqrt(x+sqrt(x))+sqrt(x-sqrt(x)))(sqrt(x+sqrt(x))-sqrt(x-sqrt(x))))}}} Simplify!!
{{{(2sqrt(x)(sqrt(x+sqrt(x))-sqrt(x-sqrt(x))))/2sqrt(x)}}} Cancel the {{{2sqrt(x)}}}
{{{sqrt(x+sqrt(x))-sqrt(x-sqrt(x))}}}