sqrt(sqrt(7+sqrt(48))-sqrt(7-sqrt(48)))

Evaluate sqrt(3+sqrt(3)+sqrt(2+sqrt(3))+sqrt(7+sqrt(48)))

1/(sqrt(7)+sqrt(3))\times (sqrt(7)-sqrt(3))/(sqrt(7)-sqrt(3))

If sqrt(3+sqrt3+sqrt(2+sqrt3+sqrt(7+sqrt(48))))=p+sqrtq then find p, q

(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3))-(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3))

show that (sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))times(sqrt(7)-sqrt(5))/(sqrt(7)-sqrt(5)) =frac{(sqrt(7)-sqrt(5))^(2)}{2}

Simplify: (sqrt(5)+sqrt(3))/(sqrt(80)+sqrt(48)-sqrt(45)-sqrt(27))

Rationailise the denominatios (1)/(sqrt(7)+sqrt(2))-(sqrt(7)+sqrt(2))/(sqrt(7)-sqrt(2))