Simplify `(sqrt(p^(2)+1)-sqrt(p^(2)-1))(sqrt(p^(2)-1)+sqrt(p^(2)+1))`

Simplify sqrt((sqrt(2)+1)/(sqrt(2)-1))

If cos25^(0)+sin25^(0)=p, then cos50^(@) is (a) sqrt(2-p^(2))(b)-sqrt(2-p^(2))(c)p sqrt(2-p^(2))(d)-p sqrt(2-p^(2))

if x=(sqrt(p^(2)+q^(2))+sqrt(p^(2)-q^(2)))/(sqrt(p^(2)+q^(2))-sqrt(p^(2)-q^(2))), then q^(2)x^(2)-2p^(2)x+q^(2)=?

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

If x=(sqrt(p^(6)+q^(2))+sqrt(p^(2)-q^(2)))/(sqrt(p^(2)+q^(2))-sqrt(p^(2)-q^(2))) then q^(2)x^(2)-2p^(2)x+q^(2)=?

Simplify P=(1)/(2sqrt(1)+sqrt(2))+(1)/(3sqrt(2)+2sqrt(3))+...+(1)/(100sqrt(99)+99sqrt(100))

Simplify: (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(5))

The value of sqrt(p^(-1)q).sqt(q^(-1)r).sqrt(r^(-1) p) is