if `x=(sqrt(p+2q)-sqrt(p-2q))/(sqrt(p+2q)+sqrt(p-2q))` then prove that `qx^2-px-q=0`

If (sqrt(p+2q)+sqrt(p-2q))/(sqrt(p+2q)-sqrt(p-2q)) , then show that qx^2-px+q=0

If x=(sqrt(p+q)+sqrt(p-q))/(sqrt(p+q)-sqrt(p-q)) find the value of qx^(2)-2px+q

If x=(sqrt(p+q)+sqrt(p-q))/(sqrt(p+q)-sqrt(p-q)) then find the value of qx^(2)-2px+q

x=(sqrt(p^2+q^2)+sqrt(p^2-q^2))/(sqrt(p^2+q^2)-sqrt(p^2-q^2)) then q^2x^2-2p^2x+q^2=? (A)    3    (B)    -1    (C)    -2    (D)    0    

x=(sqrt(p^2+q^2)+sqrt(p^2-q^2))/(sqrt(p^2+q^2)-sqrt(p^2-q^2)) then q^2x^2-2p^2x+q^2=? (A)Â Â Â 3 Â Â Â (B) Â Â Â -1 Â Â Â (C) Â Â Â -2 Â Â Â (D)Â Â Â 0 Â Â Â

If p = (sqrt(3q +2) + sqrt(3q-2))/(sqrt(3q + 2) - sqrt(3q-2)) then what is the value of p^(2)- 3pq + 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)=?

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)=?

If x=[-(q)/(2)+sqrt((q^(2))/(4)+(p^(3))/(27))]^(1//3)+[-(q)/(2)-sqrt((q^(2))/(4)+(p^(3))/(27))]^(1//3) , prove that x^(3)+px+q=0 .